Periodic \(p\)-Laplacian with nonlocal terms

DOI10.1016/j.na.2005.11.038zbMath1110.35039OpenAlexW1985223722MaRDI QIDQ858666

Yifu Wang, Yuanyuan Ke, Jingxue Yin, Qian Zhou

Publication date: 11 January 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.11.038

zbMATH Keywords

periodic solutionshomogeneous Dirichlet boundary conditionsexistence theoremnonlocal termLeray-Schauder degreetime periodicity\(p\)-Lpalacian

Mathematics Subject Classification ID

Related Items (11)

Periodic and subharmonic solutions with winding number for \(p\)-Laplacian equations by the Poincaré-Birkhoff theorem ⋮ Periodic doubly degenerate parabolic equation with nonlocal terms ⋮ Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion ⋮ Coexistence and optimal control problems for a degenerate predator-prey model ⋮ Periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions ⋮ Existence of periodic solutions of a \(p\)-Laplacian-Neumann problem ⋮ Positive periodic solutions for a system of anisotropic parabolic equations ⋮ Periodic solutions of non-Newtonian polytropic filtration equations with nonlinear sources ⋮ Three solutions for some Dirichlet and Neumann nonlocal problems ⋮ Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms ⋮ Periodic solutions for a class of reaction-diffusion equations with \(p\)-Laplacian

Cites Work

• Degenerate parabolic equations
• Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources
• Non-local reaction-diffusion equations modelling predator-prey coevolution
• Nonlinear elliptic boundary-value problems in unbounded domains
• Existence and optimal control for periodic parabolic equations with nonlocal terms
• Equations for biological evolution
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