Multiplicity of solutions of nonlinear scalar field equations

DOI10.4171/RLM/693zbMath1312.35060MaRDI QIDQ2264061

Riccardo Molle, Donato Passaseo

Publication date: 20 March 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

variational methodsinfinitely many solutionsnonlinear scalar field equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (7)

Infinitely many positive solutions of nonlinear Schrödinger equations ⋮ Multiplicity results for critical \(p\)-Laplacian problems ⋮ Multiscale weak compactness in metric spaces ⋮ The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations ⋮ Infinitely many positive standing waves for Schrödinger equations with competing coefficients ⋮ Ground states for irregular and indefinite superlinear Schrödinger equations ⋮ Infinitely many non-radial positive solutions to the double-power nonlinear Schrödinger equations

Cites Work

• Existence and multiplicity of solutions for elliptic equations with jumping nonlinearities
• Multiplicity of positive and nodal solutions for scalar field equations
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Multiple solutions for a class of elliptic equations with jumping nonlinearities
• On some Schrödinger equations with non regular potential at infinity
• Positive solutions of some nonlinear elliptic problems in exterior domains
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Nonlinear scalar field equations: existence of a positive solution with infinitely many bumps
• Elliptic equations with jumping nonlinearities involving high eigenvalues
• Min-Max Solutions to Some Scalar Field Equations
• Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

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