On exterior Neumann problems with an asymptotically linear nonlinearity

DOI10.1016/j.jde.2007.05.020zbMath1174.35046OpenAlexW2017025981MaRDI QIDQ996237

Tatsuya Watanabe

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.05.020

zbMATH Keywords

ground state solutionsasymptotically linear nonlinearityexterior Neumann problemssymmetry breaking phenomena

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Scattering theory for the d'Alembert equation in exterior domains
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Multipeak solutions for a nonlinear Neumann problem in exterior domains.
• Asymmetric positive solutions for a symmetric nonlinear problem in \(\mathbb{R}^N\)
• Multipeak solutions for a semilinear Neumann problem
• Multiple interior peak solutions for some singularly perturbed Neumann problems.
• A note on asymptotically linear elliptic problems in \(\mathbb R^N\)
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Symmetry breaking and multiple solutions for a Neumann problem in an exterior domain
• Nonsymmetric ground states of symmetric variational problems
• On the shape of least‐energy solutions to a semilinear Neumann problem
• On The Existence Of Positive SOlutions For Semilinear Neumann Problems In Exterior Domains
• Multiple solutions for a neumann problem in an exterior domain
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
• Axial symmetry of solutions to semilinear elliptic equations in unbounded domains
• A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation
• A remark on least energy solutions in $\mathbf {R}^N$
• Existence of a positive solution of an elliptic equation on R^N
• The existence of a positive solution to asymptotically linear scalar field equations
• On a class of asymptotically linear elliptic problems in \(\mathbb R^N\)

This page was built for publication: On exterior Neumann problems with an asymptotically linear nonlinearity