The borderline case of Bahri-Lions result and related problems

DOI10.1016/j.jmaa.2022.126073zbMath1486.35151OpenAlexW4210928620MaRDI QIDQ831457

Haoyu Li

Publication date: 23 March 2022

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.2022.126073

zbMATH Keywords

existence of infinitely many solutionssemilnear equation with Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth
• Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms
• Spectral density estimates with partial symmetries and an application to Bahri-Lions-type results
• Marino-Prodi perturbation type results and Morse indices of minimax critical points for a class of functionals in Banach spaces
• On the Schrödinger equation and the eigenvalue problem
• A perturbation method for multiple sign-changing solutions
• A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
• Nodal solutions of a perturbed elliptic problem
• Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
• Topological results on a certain class of functionals and application
• On the Bolza problem
• Elliptic partial differential equations of second order
• Infinite dimensional Morse theory and multiple solution problems
• The multiplicity of solutions in non-homogeneous boundary value problems
• Radial solutions of semilinear elliptic equations with broken symmetry
• Infinitely many solutions for the perturbed Bose-Einstein condensates system
• Multiple positive solutions for coupled Schrödinger equations with perturbations
• Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system
• Multiple Critical Points of Perturbed Symmetric Functionals
• Morse index of some min-max critical points. I. Application to multiplicity results
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A priori bounds for positive solutions of nonlinear elliptic equations
• A Perturbation Method in Critical Point Theory and Applications

This page was built for publication: The borderline case of Bahri-Lions result and related problems