Infinitely many sign-changing solutions for a Schrödinger equation in \(\mathbb{R}^n\)

DOI10.1016/j.jmaa.2009.01.018zbMath1166.35036OpenAlexW2062026934MaRDI QIDQ1018302

Mingli Hong

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.018

zbMATH Keywords

invariant setsSchrödinger equationsfountain theoremmultiple solutionssign-changing solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Infinitely many sign-changing solutions to some quasilinear equation involving exponential term ⋮ Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method ⋮ Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations

Cites Work

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• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Schrödinger type equations with asymptotically linear nonlinearities
• Minimax theorems
• Nodal type bound states of Schrödinger equations via invariant set and minimax methods
• A minimum-maximum principle for a class of non-linear integral equations
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Nodal solutions of a p-Laplacian equation
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations

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