Keywords: 26A33; 26E70; 35B09; 45M20; Fractional Riemann-Liouville derivatives; Nonlocal thermistor problem on time scales; Fixed point theorem; Dynamic equations; Positive solutions;
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Keywords: Positivity-preserving WENO scheme; Semi-implicit Runge-Kutta method; Sixth order; Nonlinear heat equation; 65M06; 35K57; 35B09; 35B35;
Keywords: Semilinear elliptic equations; critical growth; positive solutions; Nehari method; variational method; 35B09; 35B33; 35J20;
Keywords: primary; 35J08; secondary; 31C35; 35A08; 35B09; 58G03; Fundamental solution; Green function; Critical operator; Positive solutions;
Keywords: primary; 35J60; secondary; 35B09; 35B44; Boundary blow-up; Radial solutions; Indefinite weight; Shooting method;
Keywords: 35K40; 35K55; 35K65; 35B09; 35B35; 35B40; Landau; Multi-species; Hypocoercivity; Maxwellian; Entropy; Exponential decay;
Keywords: 35B09; 35B33; 35B44; 35B45; 35K40; 35R45; Parabolic system; Partial differential inequalities; Heat potential estimate; Pointwise bound;
Keywords: 35J60; 35B32; 35B09; 35J47; 35J57Elliptic systems; Positive solutions; Superlinear growth; Bifurcation from infinity
Keywords: 35B09; 35B51; 35D30; 35J60; 35J75; 92B05Sub-supersolution method; Singular gradient systems; Lotka–Volterra
Keywords: 35A01; 35A02; 35A09; 35B09; 35B33; 35B40; 35B51; 35K70Sublinear pseudoparabolic equation; Non-autonomous and unbounded source; Comparison principle; Global well-posedness; Grow-up rate; Critical exponent
Keywords: 35B09; 35B33; 35J30; 35J48; 53A30; 34A34Existence of solution; Degree theory; Shooting method; Rellich–Pohožaev identity
Keywords: 35C07; 35J15; 35B09; 35P20; 92D25KPP equations; Traveling wave solutions; Eigenvalue problems; Unfavorable; Concentration; Cylindrical domains
Keywords: 35J40; 35B09; 35J08Biharmonic; Dirichlet boundary conditions; No sign preservation
Keywords: 35B09; 35B33; 35J30; 35J48; 47H11; Degree theory; Lane-Emden system; Poly-harmonic systems; The shooting method; Weighted Hardy-Littlewood-Sobolev inequality;
Keywords: 35A01; 35A02; 35B09; 35B51; 35D30; 35J60; 35J75; Nonlinear elliptic equations; Natural growth condition; The sub-super-solution method; Singular gradient terms;
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;
Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities
Keywords: primary; 35R11; secondary; 58J05; 35B09; 35B33; 35B44; Fractional Yamabe-type equations; Bubble-tower solutions;
Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
Keywords: primary; 35J47; 35B08; 35B09; 35R11; secondary; 35Q55; 35B33; 47G20; Schrödinger-Hardy systems; Existence of entire solutions; Fractional p-Laplacian operator;
Nonexistence of positive solutions for a semi-linear equation involving the fractional laplacian in ℝN*
Keywords: the fractional Laplacian; method of moving planes in integral forms; nonexistence of positive solutions; subcritical case35A01; 35B09; 35J05; 35J08; 35J61; 45M20
A positive bound state for an asymptotically linear or superlinear Schrödinger equation
Keywords: 35Q55; 35B09; 35J20Nonlinear Schrödinger equation; Asymptotically linear; Superlinear; Positive solution; Variational methods
Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with d â¥Â 3 equations
Keywords: primary; 35J47; 35J50; secondary; 35B08; 35B09; 35Q55; Cubic Schrödinger systems of cooperative type; Gradient elliptic systems; Ground states; Semitrivial and fully nontrivial solutions;
Pointwise bounds and blow-up for Choquard–Pekar inequalities at an isolated singularity
Keywords: 35B09; 35B33; 35B40; 35J60; 35J91; 35R45Pointwise bound; Blow-up; Isolated singularity; Choquard–Pekar equation; Riesz potential
Existence and nonexistence of positive solutions of pp-Kolmogorov equations perturbed by a Hardy potential
Keywords: 35A01; 35B09; 35B25; 35D30; 35D35; 35K92Weighted Hardy inequality; Nonlinear Ornstein–Uhlenbeck operator; pp-Laplace operator; Singular perturbation; Existence; Nonexistence
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions
Keywords: 35B09; 35B32; 35B33; 35B45; 35J15; 35J60; Neumann boundary conditions; Bifurcation; Subcritical and supercritical exponent; Lane-Emden problem; Boundary value problems; Nehari manifold; Symmetries; Clustered layer solutions;
Multiplicity of positive solutions for a nonlinear Schrödinger–Poisson system
Keywords: 35B09; 35J20; 35J60; 35M10Positive solutions; Sobolev embedding theorem; Schrödinger–Poisson system; Radial solution; Barycenter map; Concentration-compactness principle
Eventually and asymptotically positive semigroups on Banach lattices
Keywords: 47D06; 47B65; 34G10; 35B09; 47A10One-parameter semigroups of linear operators; Semigroups on Banach lattices; Eventually positive semigroup; Asymptotically positive semigroup; Positive spectral projection; Perron–Frobenius theory
The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
Keywords: 35J93; 35J25; 35J62; 35J67; 35B09; 35B51; 35D10; 35J20Prescribed anisotropic mean curvature equation; Positive solution; Dirichlet boundary condition; Existence; Uniqueness; Regularity; Boundary behaviour; Bounded variation function; Variational methods
Sublinear elliptic problems with a Hardy potential
Keywords: 35J75; 35B09; 35B51; 34B16Elliptic problems; Hardy potential; Sub-linear forcing term; Dead core solutions; Boundary behavior
Study of a family of higher order nonlocal degenerate parabolic equations: From the porous medium equation to the thin film equation
Keywords: 35G25; 35k25; 35A01; 35B09; Weak solutions; Sobolev embedding; Laplace operator;
Asymptotic behaviour of travelling waves for the delayed Fisher–KPP equation
Keywords: 35C07; 35J15; 35B09; 92D25Travelling wave solutions; Time delay; Maximal wavetrain; Oscillations
Nonlinear mixed boundary conditions in BVPs of Logistic type with spatial heterogeneities and a nonlinear flux on the boundary with arbitrary sign. The case p>2q−1p>2q−1
Keywords: 35J66; 35B09; 35B44; 35B45Nonlinear mixed boundary conditions; Positive solutions of BVPs; Spatial heterogeneities in BVP; Flux with arbitrary sign; Nonlinear BVPs of Logistic type
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
Pointwise bounds and blow-up for nonlinear polyharmonic inequalities
Keywords: 35B09; 35B33; 35B40; 35B44; 35B45; 35R45; 35J30; 35J91; Isolated singularity; Polyharmonic; Blow-up; Pointwise bound;
Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry
Keywords: 35B06; 35B09; 35J15Elliptic equations; Positive solutions; Radial symmetry; Elliptic and hyperbolic geometry
Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays
Keywords: 34K20; 34K25; 35B40; 35B09; 92D25Nicholson’s blowflies equation; Delays; Patch structure; Global asymptotic stability; Heteroclinic solution; Travelling wave
Monotonicity of solutions of Fully nonlinear uniformly elliptic equations in the half-plane
Keywords: 35J60; 35B05; 35B09; 35B50Fully nonlinear; Uniformly elliptic; Viscosity solutions; Monotonicity of solutions
Initial blow-up of solutions of semilinear parabolic inequalities
Keywords: 35B09; 35B33; 35B40; 35B44; 35B45; 35K10; 35K58; 35R45Initial blow-up; Semilinear parabolic inequalities
Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity
Keywords: 35B09; 35Q74; 74D05; Partial integro-differential equations; Viscoelasticity; Newtonian viscosity; Relaxation; Completely monotone function; Complete Bernstein function;