On the existence of signed and sign-changing solutions for a class of superlinear Schrödinger equations

DOI10.1016/j.jmaa.2007.11.058zbMath1139.35094OpenAlexW2012833481MaRDI QIDQ2481857

Uberlandio B. Severo, João Marcos Bezerra do Ó, Everaldo S. Medeiros

Publication date: 15 April 2008

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.2007.11.058

zbMATH Keywords

variational approachSchrödinger equationsa priori estimatenonlinear eigenvalue problemsminimax methodsKlein-Gordon equationsstanding waves

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Existence of solutions for minimax problems (49J35) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Soliton solutions for a class of Schrödinger equations with a positive quasilinear term and critical growth ⋮ Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation ⋮ Three solutions for a semilinear elliptic boundary value problem ⋮ Existence and concentration of solutions of Schrödinger-Poisson system ⋮ G-invariant positive solutions for a class of locally superlinear Schrödinger equations ⋮ Existence of positive solutions for a quasilinear Schrödinger equation ⋮ A positive solution of asymptotically periodic Choquard equations with locally defined nonlinearities ⋮ MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN $\mathbb{R}$^<i>N</i> ⋮ Sign-changing solutions for Schrödinger-Poisson system with local nonlinearity

Cites Work

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• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
• On a class of nonlinear Schrödinger equations
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Variational methods for potential operator equations: with applications to nonlinear elliptic equations
• Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity
• Multiple sign-changing solutions of an elliptic eigenvalue problem
• Minimax theorems
• Sign changing solutions of nonlinear Schrödinger equations
• Dual variational methods in critical point theory and applications
• On finding sign-changing solutions
• Sign Changing Solutions of Superlinear Schrödinger Equations
• New Linking Theorem and Sign-Changing Solutions
• Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory
• Sign-changing critical points from linking type theorems
• Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN
• A Variational Problem Related to Self-trapping of an Electromagnetic Field
• Multiplicity results for a class of superlinear elliptic problems
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On a nonlinear elliptic eigenvalue problem
• Homoclinic orbits for a class of Hamiltonian systems
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
• Critical point theory on partially ordered Hilbert spaces

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