Positive periodic solutions for a system of anisotropic parabolic equations
From MaRDI portal
Publication:961093
DOI10.1016/j.jmaa.2009.12.039zbMath1195.35027OpenAlexW2003841156MaRDI QIDQ961093
Publication date: 29 March 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.039
Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (46)
On a \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition ⋮ Qualitative properties of nonlinear parabolic operators ⋮ Incremental equations for pre-stressed compressible viscoelastic materials ⋮ On a \(p(x)\)-Kirchhoff fourth order problem involving Leray-Lions type operators ⋮ Nehari type ground state solutions for periodic Schrödinger–Poisson systems with variable growth ⋮ Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization ⋮ Existence and multiplicity of solutions for a class of elliptic equations without Ambrosetti-Rabinowitz type conditions ⋮ Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent ⋮ Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion ⋮ Qualitative analysis for a system of anisotropic parabolic equations with sign‐changing logarithmic nonlinearity ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ Existence of solutions for a class of variable exponent integrodifferential system boundary value problems ⋮ Existence results for a \(p(x)\)-Laplacian problem with nonlinear boundary condition ⋮ Existence and nonexistence of positive solutions of some elliptic problems with variable exponents ⋮ On Some Variable Exponent Problems with No-Flux Boundary Condition ⋮ Integral solution for a parabolic equation driven by the \(p(x)\)-Laplacian operator with nonlinear boundary conditions and \(L^1\) data ⋮ Multiplicity results for some elliptic problems with nonlinear boundary conditions involving variable exponents ⋮ Long-time behavior for a nonlinear parabolic problem with variable exponents ⋮ Unnamed Item ⋮ On a PDE involving the \(\mathcal A_{p(\cdot )}\)-Laplace operator ⋮ Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ Existence and multiplicity results for Steklov problems with \(p(.)\)-growth conditions ⋮ On a PDE involving the variable exponent operator with nonlinear boundary conditions ⋮ Existence and uniqueness of renormalized periodic solution to a nonlinear parabolic problem with variable exponent and \(L^1\) data ⋮ Applied higher-order elliptic problems with nonstandard growth structure ⋮ Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization ⋮ Unnamed Item ⋮ Multiple solutions for the \(p(x)\)-Laplacian problem involving critical growth with a parameter ⋮ Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations ⋮ Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates ⋮ On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition ⋮ Coexistence periodic solutions of a doubly nonlinear parabolic system with Neumann boundary conditions ⋮ Steklov eigenvalue problem with \(a\)-harmonic solutions and variable exponents ⋮ A Picone identity for variable exponent operators and applications ⋮ Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms ⋮ Well-posedness problem of an anisotropic parabolic equation ⋮ Robin problems involving the \(p(x)\)-Laplacian ⋮ Unnamed Item ⋮ On a class of critical p(x)-Laplacian type problems with Steklov boundary conditions ⋮ MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN ⋮ A critical \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive periodic solutions and optimal control for a distributed biological model of two interacting species
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Degenerate parabolic equations
- Existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms
- Periodic \(p\)-Laplacian with nonlocal terms
- Nonlinear delay equations with nonautonomous past
- Non-negative periodic solution of a system of \((p(x),q(x))\)-Laplacian parabolic equations with delayed nonlocal terms
- Maximum principles for anisotropic elliptic inequalities
- Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources
- A population equation with diffusion.
- Periodic solutions of a non-linear parabolic equation
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Non-local reaction-diffusion equations modelling predator-prey coevolution
- Periodic solutions in modelling lagoon ecological interactions
- Analysis of a lagoon ecological model with anoxic crises and impulsive harvesting
- The asymptotic behavior of a population equation with diffusion and delayed birth process
- Population models involving the \(p\)-Laplacian with indefinite weight and constant yield harvesting
- Two non-trivial solutions for a non-homogeneous Neumann problem: an Orlicz–Sobolev space setting
- Existence and optimal control for periodic parabolic equations with nonlocal terms
- Equations for biological evolution
- QUALITATIVE PROPERTIES OF A POPULATION DYNAMICS SYSTEM DESCRIBING PREGNANCY
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Periodic solutions for a class of degenerate evolution problems
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Positive periodic solutions for a system of anisotropic parabolic equations