Multiple solutions for a Kirchhoff equation with critical growth
type: Item
instance of: scholarly article
title: Multiple solutions for a Kirchhoff equation with critical growth
zbMATH Open document ID: 1409.35079
author: Marcelo F. Furtado
author: Luan D. de Oliveira
author: João Pablo P. da Silva
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2019-01-11T00:00:00Z
review text: The authors show the existence of multiple solutions for a Kirchhoff equation on a bounded domain when the reaction term exhibits the critical growth.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7000653
zbMATH Keywords: Kirchhoff-type problems
zbMATH Keywords: multiple solutions
zbMATH Keywords: critical nonlinearities
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s00033-018-1045-3
OpenAlex ID: W2903435808
cites work: Positive solutions for a quasilinear elliptic equation of Kirchhoff type
cites work: Dual variational methods in critical point theory and applications
cites work: The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
cites work: Multiple critical points for a class of nonlinear functionals
cites work: A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: On the non-linear vibration problem of the elastic string
cites work: Weak convergence methods for semilinear elliptic equations
cites work: On an elliptic equation of p-Kirchhoff type via variational methods
cites work: Nonlinear vibration of beams and rectangular plates
cites work: Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
cites work: Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
cites work: Q3092933
cites work: Infinitely many positive solutions for Kirchhoff-type problems
cites work: Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities
cites work: Q4943317
cites work: Q4189540
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
cites work: Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
cites work: Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
cites work: Non-Linear vibration of an elastic string
cites work: Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
cites work: Existence and multiplicity of solutions for Kirchhoff type equations
Wikidata QID: Q128851218
DOI: 10.1007/S00033-018-1045-3
description: scientific article; zbMATH DE number 7000653