Sign changing solutions and multiple solutions of an elliptic eigenvalue problem with constraint in \(H^1(\mathbb{R}^N)\)

DOI10.1016/j.camwa.2010.02.019zbMath1193.35117OpenAlexW2028718618MaRDI QIDQ988277

Jingkun Liu, Jianqing Chen

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.02.019

zbMATH Keywords

multiple solutionselliptic eigenvalue problemsign changing solutionspseudo-gradient vector field

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Sign-changing solutions of a \(p\)-Laplacian elliptic problem with constraint in \(\mathbb{R}^N\) ⋮ MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN $\mathbb{R}$^<i>N</i>

Cites Work

• Critical point theory and Hamiltonian systems
• Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint.
• Sign changing solutions of nonlinear Schrödinger equations
• Sign Changing Solutions of Superlinear Schrödinger Equations
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On a nonlinear elliptic eigenvalue problem
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• Unnamed Item

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