Infinitely many positive standing waves for Schrödinger equations with competing coefficients

DOI10.1080/03605302.2018.1541905zbMath1421.35063arXiv1805.10193OpenAlexW2963854389MaRDI QIDQ4634010

Riccardo Molle, Giovanna Cerami

Publication date: 7 May 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10193

zbMATH Keywords

Schrödinger equationinfinitely many positive solutionscompeting coefficient

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Infinitely many positive solutions of nonlinear Schrödinger equations ⋮ Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity ⋮ Infinitely many positive solutions for Schrödinger-Poisson systems with nonsymmetry potentials ⋮ Infinitely many non-radial positive solutions to the double-power nonlinear Schrödinger equations

Cites Work

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• 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 \(\mathbb R^n\)
• Infinitely many positive solutions of nonlinear Schrödinger equations
• Some nonlinear elliptic problems in unbounded domains
• Existence of solitary waves in higher dimensions
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Infinitely many bound states for some nonlinear scalar field equations
• Infinitely many positive solutions to some nonsymmetric scalar field equations: the planar case
• Multiplicity of solutions of nonlinear scalar field equations
• Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
• Local behavior of solutions of quasi-linear equations
• On Some Scalar Field Equations with Competing Coefficients
• Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

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