Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem

DOI10.1016/j.jmaa.2007.02.086zbMath1132.35007arXiv0704.0402OpenAlexW2068451505WikidataQ126268005 ScholiaQ126268005MaRDI QIDQ2381944

Yi Li, Chunshan Zhao

Publication date: 26 September 2007

Published in: Journal of Mathematical Analysis and Applications, IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0402

zbMATH Keywords

mean curvatureleast-energy solutionquasilinear Neumann problem\(m\)-Laplacian operatorexponential decay of least-energy solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

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, Exact multiplicity results for a singularly perturbed Neumann problem, Radial solutions for p‐Laplacian Neumann problems with gradient dependence, The existence and concentration of weak solutions to a class of \(p\)-Laplacian type problems in unbounded domains, Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem. II., On the structure of solutions to a class of quasilinear elliptic Neumann problems, 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
• Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
• 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
• The strong maximum principle revisited.
• On the structure of solutions to a class of quasilinear elliptic Neumann problems
• Multipeak solutions for a semilinear Neumann problem
• Multiple interior peak solutions for some singularly perturbed Neumann problems.
• 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
• Uniqueness of ground states for quasilinear elliptic equations
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Differential Topology
• On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
• A note on exponential decay properties of ground states for quasilinear elliptic equations
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
• Unnamed Item
• Unnamed Item
• Unnamed Item