Infinitely many positive solutions of nonlinear Schrödinger equations

DOI10.1007/s00526-020-01905-3zbMath1465.35142arXiv1912.12254OpenAlexW3154786096WikidataQ115386863 ScholiaQ115386863MaRDI QIDQ829520

Riccardo Molle, Donato Passaseo

Publication date: 6 May 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12254

zbMATH Keywords

existence of solutionsnonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (5)

Normalized solutions to mass supercritical Schrödinger equations with negative potential ⋮ Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity ⋮ Infinitely many positive standing waves for Schrödinger equations with competing coefficients ⋮ On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit ⋮ Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• 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. I: Existence of a ground state
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• Some nonlinear elliptic problems in unbounded domains
• Infinitely many new curves of the Fučík spectrum
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Multiple solutions for a class of elliptic equations with jumping nonlinearities
• On some Schrödinger equations with non regular potential at infinity
• On a class of nonlinear Schrödinger equations
• Existence of solitary waves in higher dimensions
• Infinitely many nonradial solutions of a Euclidean scalar field equation
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• On the existence of multipeak solutions for nonlinear field equations on \(\mathbb R^N\).
• Infinitely many bound states for some nonlinear scalar field equations
• Infinitely many positive solutions to some nonsymmetric scalar field equations: the planar case
• The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations
• Nonlinear scalar field equations: existence of a positive solution with infinitely many bumps
• Multiplicity of solutions of nonlinear scalar field equations
• Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
• Boundary value problems for a class of nonlinear differential equations
• Elliptic equations with jumping nonlinearities involving high eigenvalues
• Min-Max Solutions to Some Scalar Field Equations
• Infinitely many positive standing waves for Schrödinger equations with competing coefficients
• Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
• Multispike Solutions of Nonlinear Elliptic Equations with Critical Sobolev Exponent

This page was built for publication: Infinitely many positive solutions of nonlinear Schrödinger equations