Periodic solutions for a class of reaction-diffusion equations with \(p\)-Laplacian

DOI10.1016/j.nonrwa.2008.11.006zbMath1180.35322OpenAlexW2046028014MaRDI QIDQ1049445

Yifu Wang, Peter Y. H. Pang, Jingxue Yin

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.11.006

zbMATH Keywords

attractivityhomogeneous Dirichlet boundary conditionMoser iterationmonotonicity methodgeneralized Verhulst model

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources ⋮ Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale ⋮ Asymptotic bounds of solutions for a periodic doubly degenerate parabolic equation ⋮ Existence results for quasilinear elliptic equations with indefinite weight ⋮ Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent ⋮ The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale ⋮ Existence of periodic solutions of a \(p\)-Laplacian-Neumann problem ⋮ Time periodic solutions of porous medium equation

Cites Work

• Degenerate parabolic equations
• Periodic \(p\)-Laplacian with nonlocal terms
• Existence of nontrivial nonnegative periodic solutions for a class of doubly degenerate parabolic equation with nonlocal terms
• Periodic solutions of some nonlinear degenerate parabolic equations
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Periodic solutions of parabolic systems with nonlinear boundary conditions
• The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions
• Semilinear periodic-parabolic equations with nonlinear boundary conditions
• Periodic solutions for double degenerate quasilinear parabolic equations
• Existence, multiplicity and stability results for positive solutions of nonlinear \(p\)-Laplacian equations
• The role of critical exponents in blow-up theorems: The sequel
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Positive periodic solutions of predator-prey reaction-diffusion systems
• Existence results for perturbations of the p-Laplacian
• Multiplicity results for a degenerate elliptic equation with logistic reaction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item