Keywords: 35K57; 35B32; 92D25; Predator-prey; Global asymptotic stability; Pattern formation; Fractional diffusion;
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Keywords: 35J93; 47J15; 35B32; 34B15; Prescribed mean curvature equation; Direction of bifurcation; Nonlinear eigenvalue problem; Transcritical bifurcation; Pitchfork bifurcation; Exponential nonlinearity; Logistic nonlinearity; Pendulum; Perturbed Gelfand problem;
Keywords: 35B10; 35B32; Vortex filaments; Periodic solutions; Bifurcation;
Keywords: 35J65; 35B32; 35J50; 35J92; Concave-convex; p-Laplacian; Variational methods; Bifurcation; Nehari manifold; Fibering method;
Keywords: 35B32; 35B35; 35K57; 35J61; Reaction-diffusion equation; Nonlinear boundary condition; Bifurcation; Stability;
Keywords: 35A02; 35B32; 35J61; Semilinear elliptic equation; Singular extremal solution; Joseph-Lundgren exponent; Uniqueness; Bifurcation diagram; Generalized eigenvalue;
Keywords: Predator-prey; Nonlocal; Comparison principle; Existence; Uniqueness; Bifurcation; 35A01; 35B32; 35B51; 35K57; 92D25;
Keywords: 35J60; 35R35; 35B32; 92C37; 35K55; Free boundary; Bifurcation; Existence and uniqueness;
Keywords: 35B32; 35J25; 35J60; 34B18; Symmetry-breaking bifurcation; Positive solution; One-dimensional Liouville type equation; Morse index; Korman solution;
Keywords: 35J50; 35B32; 35Q92; Coexistence states; Cooperative systems; Variational methods;
Keywords: 35J60; 35B32; 92B05; Non-linear diffusion; Bifurcation; Sub-supersolution method; Large solutions; Population dynamics;
Keywords: 35J55; 35B32; Disease dynamics; Advective environment; Spatial heterogeneity; Asymptotic profile; Steady state;
Keywords: 35B32; 35B35; 35Q53; Bifurcation; Zakharov-Kuznetsov equation; Line solitary wave; Transverse instability; Asymptotic stability;
Keywords: 35J60; 35B32; 35B09; 35J47; 35J57Elliptic systems; Positive solutions; Superlinear growth; Bifurcation from infinity
Keywords: 35B32; 35Q92; 35R35Free boundary problem; Tumor growth; Stationary solution; Bifurcation
Keywords: 35B32; 35C07; 35J20; 35R09; 35R11; 45G05; 47G10Allen–Cahn equation; Morse index; Variational method; Mountain pass solution
Keywords: 35Q83; 35Q92; 35B32; 35B40; 82C27; Kuramoto model; Mean-field limit; Landau damping; Nonlinear stability; Center manifold reduction; Bifurcation;
Keywords: 35B10; 35B32; 35B35; 35C08; 35Q41; 81Q05; Carleman estimates; linear stability of solitary waves; nonlinear Dirac equation; spectral theory of nonselfadjoint operators;
Keywords: 35B32; 35B51; 35J60Elliptic equations; Indefinite weight; Robin boundary conditions
Keywords: 35K86; 35J87; 35B32; 35B35; Signorini problem; Variational inequality; Bifurcation direction; Stability of bifurcating solutions; Exchange of stability;
Keywords: 35B32; 35J60; 58J32;
Keywords: 35B32; 35B33; 35J61; 35J25Bifurcation diagram; Infinitely many turning points; Joseph–Lundgren exponent; Singular solution
Keywords: 35J25; 35J61; 35B32; 35P30Semilinear elliptic problem; Indefinite weight; Nonlinear boundary condition; Variational methods; Bifurcation approach; Population dynamics
The Emden-Fowler equation on a spherical cap of Sn
Keywords: primary; 35J60; 35B32; secondary; 34C23; 34C10; Bifurcation diagram; Joseph-Lundgren exponent; Singular solution; Infinitely many turning points;
Quasilinear elliptic problems with singular and homogeneous lower order terms
Keywords: 35P30; 35J25; 35J62; 35J75; 35B32; Quasilinear elliptic equations; Singular problems; Eigenvalue problems;
A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
Keywords: primary; 35J25; 35B32; secondary; 35J61; 34C10; Singular solution; Morse index; Infinitely many positive solutions; Joseph-Lundgren exponent;
Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes
Keywords: 35B32; 53A10; 35B40; 53B30; 53C50; Bifurcation; Mean curvature spacelike equation; Positive solution; Friedmann-Lemaître-Robertson-Walker spacetime;
(3Â +Â 1)-Dimensional spatiotemporal optical bright soliton solutions and periodic solutions in the nonlocal nonlinear media
Keywords: 35C07; 35B32; 35L05; 35C08; Nonlocal nonlinear media; Dynamical system method; Bifurcation; Bright soliton solution; Periodic solution;
Hopf bifurcation for a delayed predator-prey diffusion system with Dirichlet boundary condition
Keywords: Predator-prey system; Diffusion; Time delay; Steady-state solution; Hopf bifurcation; 35K57; 35B32; 92D25;
Hopf bifurcation in a reaction-diffusive two-species model with nonlocal delay effect and general functional response
Keywords: Reaction-diffusive two-species model; Nonlocal delay; General functional response; Hopf bifurcation; Blow-up; 34K18; 35B32; 35B35; 35K57;
Spatiotemporal dynamics and spatial pattern in a diffusive intraguild predation model with delay effect
Keywords: Delayed diffusive intraguild predation; Holling-II functional response; Hopf bifurcation; Spatiotemporal chaos; Spatiotemporal pattern; 35B32; 35B36; 35K57; 92D25; 92D40;
Spectrum and bifurcation for semilinear elliptic problems in RN
Keywords: 35B20; 35B32; 35B40; 35J60; 35P05; Bifurcation; Spectrum; Nodal solutions;
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
Keywords: 35R10; 92B05; 35B32; 35K57; 35B10; 92D40; Hopf bifurcation; Distributed delay; Dirichlet boundary condition; Reaction-diffusion equation; Normal form;
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
Stable NLS solitons in a cubic–quintic medium with a delta-function potential
Keywords: 35J60; 35B32; 35Q55; 37C75; 74J30; 78A60Nonlinear Schrödinger equation; Cubic–quintic nonlinearity; Trapping delta potential; Bifurcation; Stability
Exact multiplicity of positive solutions for a p-Laplacian equation with positive convex nonlinearity
Keywords: 35J05; 35J25; 35B32; 34B18p-Laplacian; Positive solution; Existence; Exact multiplicity; Topological degree; Bifurcation
Notes on a PDE system for biological network formation
Keywords: 35K55; 35B32; 92C42Network formation; Penalty method; Numerical experiments
Hopf bifurcation in a diffusive Lotka–Volterra type system with nonlocal delay effect
Keywords: 34K18; 35B32; 35B35; 35K57; 35Q92; 92D40Reaction–diffusion; Nonlocal delay; Lyapunov–Schmidt reduction; Hopf bifurcation
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 solutions to a nonlinear boundary value problem of concave–convex type
Keywords: 35B32; 35J92; 35J66; 35J70; 35B65Concave–convex problems; Variational methods; Strong comparison
Unbounded sets of solutions of non-cooperative elliptic systems on spheres
Keywords: 35B32; 35J20Global bifurcations; Symmetry breaking; Non-cooperative elliptic system; Equivariant degree
Asymptotic behavior of degenerate logistic equations
Keywords: 35B40; 35K58; 35B32; 35J61; Logistic nonlinearity; Asymptotic behavior; Blow up; Boundedness; Non-smooth sets; Fractal dimension;
On a class of Keller–Segel chemotaxis systems with cross-diffusion
Keywords: 35K51; 35Q92; 35B32; 35J67; 35B41; 35B36; 92C17Cross diffusion; Chemotaxis; Global existence; Pattern formation; Global bifurcation; Asymptotic profiles
Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection
Keywords: 35J57; 35B32; 34K10; 34D15; 92D40Reaction–diffusion–advection system; Degree; Nonlocal constraint; Bifurcation; Singular perturbation; Levelset analysis
Global structure of supercritical bifurcation with turning points for the logistic elliptic equation with nonlinear boundary conditions
Keywords: primary; 35J25; 35J61; 35B32; 35P30; secondary; 92D25; Nonlinear elliptic equation; Nonlinear boundary condition; Logistic nonlinearity; Positive solution; Global bifurcation; Blow up argument; Subcontinuum;
Global bifurcation, Berestycki’s conjecture and one-sign solutions for pp-Laplacian
Keywords: 35B32; 35P05Global bifurcation; Half-quasilinear problems; Eigenvalues
Dew drops on spider webs: A symmetry breaking bifurcation for a parabolic differential-algebraic equation
Keywords: 35B32; 35K65; 65M20; 53C44Symmetry breaking bifurcation; Degenerate parabolic differential-algebraic equations; Volume-preserving mean-curvature flow
Lyapunov function and spectrum comparison for a reaction–diffusion system with mass conservation
Keywords: 35B32; 35B35; 35B40; 35K57Reaction–diffusion system; Mass conservation; Equilibrium solution; Spectrum comparison; Linearized eigenvalue problem
Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions
Keywords: 35J91; 35B32; 35B25; 35P15Symmetry breaking bifurcation; Asymptotic transversality; Singular perturbation; Boundary concentration; Nonradially symmetric solutions
A note on the nonexistence of solutions for prescribed mean curvature equations on a ball
Keywords: 35J93; 35B32; 34B15Prescribed mean curvature equation; Radial solution; Nonexistence; Time map; Quasilinear problem; Exponential nonlinearity; Power nonlinearity