Keywords: 34B08; 34B15; 34B18; Neumann problem; Indefinite weight; Positive solutions; Multiplicity results; Shooting method;
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Keywords: 41A44; 35B33; 58D19; 34B18; Analytical approach of the symmetry; Supercritical Hardy-Sobolev inequalities; Supercritical Hardy-Sobolev elliptic equations;
Keywords: 34B15; 34B18; 34C23; 74G35;
Keywords: 34C25; 34B16; 34B18; 47H11; Singular differential equation; Indefinite singularity; Periodic solution; Degree theory;
Keywords: 35B32; 35J25; 35J60; 34B18; Symmetry-breaking bifurcation; Positive solution; One-dimensional Liouville type equation; Morse index; Korman solution;
Keywords: 34B18; 34B15; 34C25; 47H11; Superlinear indefinite problems; Positive periodic solutions; Multiplicity results; Subharmonic solutions; Neumann boundary value problems; Coincidence degree;
Keywords: primary; 35J93; 34B18; secondary; 34B15; 35B65; 35D10; 35J20; 49Q20; 53A10; 76D45; Prescribed curvature equation; Neumann boundary condition; Indefinite weight; Bounded variation solution; Regularization procedure; Variational method;
Keywords: 34B10; 34B18; Mean curvature operator; Minkowski space; Positive radial solutions; Bifurcation methods;
Keywords: 34B18; 34B16; 34B08Number of bounded components; Positive solutions; Asymmetric superlinear indefinite problems; Bifurcation diagrams; High multiplicity; Poincaré maps; Large solutions
Keywords: 34A60; 34B18; 34B15Fractional derivative; Differential inclusion; Boundary value problem; Fixed point
Boundary blow-up solutions to the k-Hessian equation with singular weights
Keywords: 34B18; 34B15; 34A34; k-Hessian equation; Boundary blow up; Sub-supersolution method; k-convex solution;
Exact interval of parameter and two infinite families of positive solutions for a nth order impulsive singular equation
Keywords: 34B18; 34C23; 34K10; Exact interval of parameter; Two infinite families of positive solutions; Transformation technique; Higher order impulsive singular equations; Fixed point index;
New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
Keywords: primary; 35B09; 35J25; 45G10; 45M20; secondary; 34B10; 34B18; 47A10; 47H14; 47H30; Radially symmetric solution; Hammerstein integral equation; Nonlocal boundary condition; Sign-changing Green's function; Vanishing Green's function;
The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
Keywords: 34B18; 35A05; 35J65; Nonlinear Schrödinger equation; Positive solutions; Fixed point; Weighted norm;
BSDES in games, coupled with the value functions. associated nonlocal Bellman-Isaacs equations
Keywords: McKean-Vlasov SDE; BSDE coupled with the lower and the upper value functions; dynamic programming principle; mean-field BSDE; viscosity solution; coupled nonlocal; HJB-Isaacs equation; Isaacs' condition; 34B15; 34B18;
Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem
Keywords: primary; 35J93; 34B18; secondary; 35B32; 34A47; 34B15; 35B36; Quasilinear equation; Prescribed curvature equation; Neumann boundary condition; Indefinite weight; Positive solution; Regular or singular solution; Bounded variation solution; Local and global
On the classification and evolution of bifurcation curves for a one-dimensional prescribed curvature problem with nonlinearity exp(aua+u)
Keywords: 34B18; 74G35; Prescribed curvature problem; Exact multiplicity; Positive solution; Bifurcation curve; Time map;
Leggett–Williams type theorems with applications to nonlinear differential and integral equations
Keywords: 47H10; 47H30; 45H30; 45M20; 34B18; 45G15; 45N05Absolute retract; Coupled fixed point; Fixed point theorem; Hammerstein integral equation; Invariant direction; Measure of noncompactness; Ordered Banach space; RδRδ-set; Reflection operator; System of Hammer
Multiple positive solutions for a superlinear problem: A topological approach
Keywords: 34B18; 34B15Positive solutions; Superlinear equations; Indefinite weight; Multiplicity results; Boundary value problems
Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line
Keywords: 34B18; 34C25; 34C28; 37J45Periodic and subharmonic solutions; Natural constraints; Nehari method; Singularly perturbed problems
Nonlinear anisotropic parabolic equations in Lm
Keywords: 34A60; 34B18; 34B15Nonlinear parabolic equations; Anisotropic equations; Lm data
Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations
Keywords: 26A33; 34B15; 34B18; Impulsive differential equation; Transformation technique; Positive solutions; Fixed point theory;
S-shaped bifurcation curves for nonlinear two-parameter problems
Keywords: 34B18; 34C23Bifurcation curve; S-shaped; Two-parameter; Asymptotic behavior
Exact multiplicity and bifurcation diagrams of positive solutions of a one-dimensional multiparameter prescribed mean curvature problem
Keywords: 34B18; 74G35Prescribed mean curvature problem; Multiparameter; Exact multiplicity; Positive solution; Bifurcation diagram; Time map
Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS
Keywords: 34B18; 74G35; Prescribed mean curvature problem; Global bifurcation diagram; Exact multiplicity; Positive solution; MEMS;
Exact multiplicity of positive solutions of a semipositone problem with concave–convex nonlinearity
Keywords: 34B18; 74G35Exact multiplicity; Positive solution; Bifurcation diagram; Semipositone problem; Concave–convex nonlinearity
Existence and multiplicity of solutions for nonlinear periodic problems with the scalar p-Laplacian and double resonance
Keywords: 34B15; 34B18; 34C25; 58E05Spectrum of the scalar p-Laplacian; Double resonance; Critical groups reduced homology sequence; Morse theory; Existence and multiplicity theorems
A generalized Pohožaev identity and uniqueness of positive radial solutions of Δu+g(r)u+h(r)up=0Δu+g(r)u+h(r)up=0
Keywords: 35A02; 34B18; 35B09; 35J15Uniqueness; Positive radial solutions; Pohožaev identities; Brezis–Nirenberg problem; Haraux–Weissler equation; Nonlinear Schrödinger equation with harmonic potential
S-shaped and broken S-shaped bifurcation diagrams with hysteresis for a multiparameter spruce budworm population problem in one space dimension
Keywords: 34B18; 74G35S-shaped bifurcation diagram; Broken S-shaped bifurcation diagram; Weak hysteresis; Strong hysteresis; Spruce budworm problem; Time map
Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations
Keywords: 34B15; 34B18; 34B37; 58E30Impulsive differential equations; Critical point theory; Variational methods; Minimal period; Subharmonic solutions
Doubly periodic solutions to a coupled telegraph system
Keywords: 34B15; 34B18; Telegraph system; Doubly periodic solution; Cone; Fixed point theorem;
Nonlinear perturbations of a periodic Kirchhoff equation in RNRN
Keywords: 45M20; 35J25; 34B18; 34C11; 34K12Variational methods; Nonlocal problems; Critical growth
Multiple positive solutions of non-local initial value problems for first order differential systems
Keywords: 34B18; 34C25; 47H11; 47H30Non-local condition; Positive solution; Periodic solution; Fixed point index
Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity
Keywords: 35J93; 34B18; 34C23; 34B09Prescribed mean curvature; Splitting bifurcation; Finite-singularity forcing; Time map; Disappearing solutions; MEMS
Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity
Keywords: 34B18; 74G35Global bifurcation; Exact multiplicity; Positive solution; Positone problem; S-shaped bifurcation curve; Time map
On linear and nonlinear fourth-order eigenvalue problems with indefinite weight
Keywords: 34B15; 34B18; 34C23Indefinite weight function; Principal eigenvalue; Bifurcation; Positive solution
Existence of positive solutions for first order discrete periodic boundary value problems with delay
Keywords: 34B18; 39A11Difference equations; Eigenvalues; Bifurcation; Existence; Positive periodic solutions
Nonexistence results for classes of 3 × 3 elliptic systems
Keywords: 34B18; 35J25Semipositone systems; Radial solutions; Nonexistence results
On eigenvalue intervals of higher-order boundary value problems with a sign-changing nonlinear term
Keywords: 34B18; Boundary value problem; Eigenvalue; Higher-order;
Positive solutions for a fourth order p-Laplacian boundary value problem
Keywords: 34B18; 47H07; 47H11; 45M20; 26D15; p-Laplacian equation; Positive solution; Fixed point index; Upper and lower solution; Iterative sequence;
A theorem on S-shaped bifurcation curve for a positone problem with convex–concave nonlinearity and its applications to the perturbed Gelfand problem
Keywords: 34B18; 74G35Positive solution; Exact multiplicity; S-shaped bifurcation curve; Positone problem; Convex–concave nonlinearity; Perturbed Gelfand problem
Existence of positive solutions of superlinear second-order Neumann boundary value problem
Keywords: Topological degree theory; Neumann boundary value problem; Nontrivial solutions; Positive solutions; Unbounded from below34B15; 34B18; 47H10
Positive solutions for a fourth order equation with nonlinear boundary conditions
Keywords: 34B18; 34B60; 65L10Nonlocal equation; Fixed point; Positive cone; Kirchhoff beam
The existence of multiple positive solutions to boundary value problems of nonlinear delay differential equations with countably many singularities on infinite interval
Keywords: 34B18; 34B40Boundary value problems; Positive solutions; Delay differential equations; Infinite interval
Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations
Keywords: 34B15; 34B18; 34B37; 58E30Sturm–Liouville boundary value problem; Impulsive effects; Critical point theory; Variational methods
Solutions of second-order and fourth-order ODEs on the half-line
Keywords: 34B18; 34B40; 34C37Second order; Fourth order; Non-autonomous equation; Variational methods; Unbounded intervals; Positive solution
Multiple positive solutions for nonlinear periodic problems
Keywords: 34B15; 34B18; 34C25; 58E05Periodic scalar pp-Laplacian; Mountain pass theorem; Morse theory
On periodic solutions of second-order differential equations with attractive–repulsive singularities
Keywords: 34B18; 34C25Second-order ordinary differential equation; Singular equation; Periodic solution; Positive solution
Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselskii’s fixed point theorem
Keywords: 47H10; 34B18; 34C25Krasnoselskii’s fixed point theorem on cone expansions; Non-zero fixed point; Nondecreasing operators; Periodic boundary value problem