On the structure of solutions to a class of quasilinear elliptic Neumann problems

DOI10.1016/j.jde.2004.07.021zbMath1142.35411OpenAlexW1969028217WikidataQ41822567 ScholiaQ41822567MaRDI QIDQ1775580

Chunshan Zhao, Yi Li

Publication date: 4 May 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2917850

zbMATH Keywords

Harnack inequalityleast-energy solutionmountain-pass solutionm-Laplacian operatorQuasilinear Neumann problemspike-layer solution

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Asymptotic behavior of positive solutions for quasilinear elliptic equations ⋮ Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem ⋮ On the structure of solutions to a class of quasilinear elliptic Neumann problems. II ⋮ Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions ⋮ Asymptotic behaviors of a class of \(N\)-Laplacian Neumann problems with large diffusion ⋮ Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem. II. ⋮ Remark on asymptotic behaviors of solutions to a quasi-linear elliptic Dirichlet problem with large diffusion

Cites Work

• On the boundary spike layer solutions to a singularly perturbed Neumann problem
• Large amplitude stationary solutions to a chemotaxis system
• Regularity for a more general class of quasilinear equations
• Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Multipeak solutions for a semilinear Neumann problem
• Multiple interior peak solutions for some singularly perturbed Neumann problems.
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Multiple boundary peak solutions for some singularly perturbed Neumann problems
• Dual variational methods in critical point theory and applications
• A strong maximum principle for some quasilinear elliptic equations
• Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem
• On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
• On the shape of least‐energy solutions to a semilinear Neumann problem
• On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
• On harnack type inequalities and their application to quasilinear elliptic equations
• Unnamed Item
• Unnamed Item

This page was built for publication: On the structure of solutions to a class of quasilinear elliptic Neumann problems