Existence of 2–Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains

DOI10.1515/ans-2010-0101zbMath1197.35113OpenAlexW2518018289MaRDI QIDQ3582535

Tsung-fang Wu, Tiexiang Li, Huei-li Lin

Publication date: 2 September 2010

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2010-0101

zbMATH Keywords

semilinear elliptic equationsunbounded domains2-nodal solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

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Cites Work

• Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends.
• Multiplicity of single-bump solutions for semilinear elliptic equations in multi-bump domains
• Dual variational methods in critical point theory and applications
• A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem
• A note on the number of nodal solutions of an elliptic equation with symmetry
• Critical point theory on partially ordered Hilbert spaces

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