Existence and nonuniqueness of solutions for a class of asymptotically linear nonperiodic Schrödinger equations

DOI10.1007/s11784-022-00975-4zbMath1500.35115OpenAlexW4303453894MaRDI QIDQ2087430

Hongxia Lin, Dong-Lun Wu, Fengying Li

Publication date: 20 October 2022

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-022-00975-4

zbMATH Keywords

variational methodsexistence of infinitely many solutionsasymptotically linear Schrödinger equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

• Unnamed Item
• Unnamed Item
• A uniqueness result for Kirchhoff type problems with singularity
• Multiple small solutions for Kirchhoff equation with local sublinear nonlinearities
• Positive solutions of Kirchhoff type problem with singular and critical nonlinearities in dimension four
• Ground state solution and multiple solutions to asymptotically linear Schrödinger equations
• Multiple solutions for a class of sublinear Schrödinger equations
• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations
• On a class of nonlinear Schrödinger equations
• On a nonlinear Schrödinger equation with periodic potential
• Schrödinger type equations with asymptotically linear nonlinearities
• Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity
• Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition
• An asymptotically periodic and asymptotically linear Schrödinger equation with indefinite linear part
• New conditions on nonlinearity for a periodic Schrödinger equation having zero as spectrum
• New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity
• Existence of solutions to a class of asymptotically linear Schrödinger equations in \(\mathbb{R}^n\) via the Pohozaev manifold
• Multiple positive solutions for Kirchhoff type problems involving concave-convex nonlinearities
• The use of Cerami sequences in critical point theory
• A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• On a Schrodinger equation with periodic potential and spectrum point zero
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• The existence of a positive solution to asymptotically linear scalar field equations
• Multiple solutions for superlinear Klein–Gordon–Maxwell equations†
• NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
• Variant fountain theorems and their applications

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