Sign changing solutions of semilinear elliptic problems in exterior domains

DOI10.1007/S00526-007-0092-YzbMath1174.35026OpenAlexW2023448067MaRDI QIDQ2642937

Mónica Clapp, Giovanna Cerami

Publication date: 6 September 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-007-0092-y

zbMATH Keywords

symmetrysemilinear elliptic problemsign changing solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Positive solutions for asymptotically linear problems in exterior domains ⋮ Localized nodal solutions for a critical nonlinear Schrödinger equation ⋮ Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth ⋮ Ground state and non-ground state solutions of some strongly coupled elliptic systems ⋮ Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary ⋮ Positive and sign changing solutions to a nonlinear Choquard equation ⋮ Nodal Clustered Solutions for Some Singularly Perturbed Neumann Problems ⋮ Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation ⋮ Entire nodal solutions of a semilinear elliptic equation and their effect on concentration phenomena ⋮ Energy estimates for seminodal solutions to an elliptic system with mixed couplings

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• Some nonlinear elliptic problems in unbounded domains
• Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
• Positive solutions of some nonlinear elliptic problems in exterior domains
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains

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