Existence, uniqueness and asymptotic behavior of parametric anisotropic \((p, q)\)-equations with convection

DOI10.1007/S00245-022-09892-XzbMath1506.35109OpenAlexW4286631861MaRDI QIDQ2156341

Patrick Winkert, Francesca Vetro

Publication date: 18 July 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-022-09892-x

zbMATH Keywords

existenceasymptotic behavioruniquenesseigenvalue problemanisotropic \((p, q)\)-Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Unnamed Item
• Unnamed Item
• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
• Robin problems for the \(p\)-Laplacian with gradient dependence
• Orlicz spaces and generalized Orlicz spaces
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Existence results for double phase problems depending on Robin and Steklov eigenvalues for the \(p\)-Laplacian
• The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
• Positive solutions for resonant (p,q)-equations with convection
• A singular \(( p , q )\)-equation with convection and a locally defined perturbation
• On a quasilinear elliptic problem with convection term and nonlinear boundary condition
• Existence and uniqueness results for double phase problems with convection term
• Multiple solutions with sign information for semilinear Neumann problems with convection
• Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term
• Applied Nonlinear Functional Analysis
• Partial Differential Equations with Variable Exponents
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence
• Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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