Infinitely many solutions for \(N\)-Kirchhoff equation with critical exponential growth in \({\mathbb {R}}^N\)
type: Item
instance of: scholarly article
title: Infinitely many solutions for \(N\)-Kirchhoff equation with critical exponential growth in \({\mathbb {R}}^N\)
zbMATH Open document ID: 1390.35080
author: Caisheng Chen
published in: Mediterranean Journal of Mathematics
publication date: 2018-04-16T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 6860524
zbMATH Keywords: \(N\)-Kirchhoff equation
zbMATH Keywords: symmetric mountain pass lemma
zbMATH Keywords: variational methods
Wikidata QID: Q115609567
MaRDI profile type: Publication
full work available at URL: s00009-017-1048-x
OpenAlex ID: W2775559023
cites work: Uniqueness and non-degeneracy of positive radial solutions for quasilinear elliptic equations with exponential nonlinearity
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: Critical points for a functional involving critical growth of Trudinger-Moser type
cites work: An improvement for the Trudinger-Moser inequality and applications
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Q4434430
cites work: Multiple solutions for a class of quasilinear Schrödinger systems in \(\mathbb{R}^{N}\)
cites work: Existence of solution to \(p\)-Kirchhoff type problem in \(\mathbb R^N\) via Nehari manifold
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Asymptotically Sharp Multiplicative Inequlities
cites work: Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain
cites work: Multiplicity of solutions for a class of quasilinear equations with exponential critical growth
cites work: Q5187597
cites work: Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials
cites work: A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\)
cites work: Multiplicity of high energy solutions for superlinear Kirchhoff equations
cites work: Q5614914
cites work: Existence and multiplicity of non-trivial solutions for Schrödinger-Kirchhoff-type equations with radial potential
cites work: Q3749777
cites work: On a class of quasilinear elliptic problems involving Trudinger-Moser nonlinearities
cites work: On a singular elliptic problem involving critical growth in \({\mathbb{R}^{\text N}}\)
cites work: On a singular and nonhomogeneous \(N\)-Laplacian equation involving critical growth
cites work: Q4933737
cites work: Q5547919
cites work: Existence of positive solutions for a Schrödinger-Poisson system with bounded potential and weighted functions in \(\mathbb{R}^{3}\)
cites work: On a quasilinear Schrödinger-Kirchhoff-type equation with radial potentials
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
DOI: 10.1007/S00009-017-1048-X
description: scientific article; zbMATH DE number 6860524