Infinitely many positive solutions for a class of semilinear elliptic equations
type: Item
instance of: scholarly article
title: Infinitely many positive solutions for a class of semilinear elliptic equations
zbMATH Open document ID: 1505.35123
author: Hong-Ge Chen
author: Jiaojiao Zhang
author: Jie Zhao
published in: Discrete and Continuous Dynamical Systems
publication date: 2022-11-22T00:00:00Z
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 7621926
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: positive solutions
zbMATH Keywords: Lyapunov-Schmidt reduction method
MaRDI profile type: Publication
full work available at URL: dcds.2022130
OpenAlex ID: W4295406665
cites work: On the inversion of some differentiable mappings with singularities between Banach spaces
cites work: Infinitely many positive solutions for nonlinear equations with non-symmetric potentials
cites work: Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials
cites work: Topological results on a certain class of functionals and application
cites work: A Perturbation Method in Critical Point Theory and Applications
cites work: Morse index of some min-max critical points. I. Application to multiplicity results
cites work: Solutions of superlinear elliptic equations and their morse indices
cites work: On spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problem
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: Q4095271
cites work: Infinitely many bound states for some nonlinear scalar field equations
cites work: Multiplicity of positive and nodal solutions for scalar field equations
cites work: Nonlinear scalar field equations: existence of a positive solution with infinitely many bumps
cites work: Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
cites work: An introduction to the finite and infinite dimensional reduction methods
cites work: Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
cites work: Q3969266
cites work: Regularity theory for elliptic PDE
cites work: Symmetry and related properties via the maximum principle
cites work: Elliptic partial differential equations of second order
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
cites work: Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation
cites work: Q3749777
cites work: Multiple Critical Points of Perturbed Symmetric Functionals
cites work: Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
cites work: Q4933737
cites work: A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture
cites work: On Lin-Ni's conjecture in convex domains
cites work: Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
cites work: Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
DOI: 10.3934/DCDS.2022130
description: scientific article; zbMATH DE number 7621926