Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities
type: Item
instance of: scholarly article
title: Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities
zbMATH Open document ID: 1480.35209
author: Siyu Chen
author: Carlos A. Santos
author: Jiazheng Zhou
author: Minbo Yang
published in: Advances in Differential Equations
publication date: 2021-12-21T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ade/ade026-0910-425
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7450071
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: existence
zbMATH Keywords: variational methods
MaRDI profile type: Publication
cites work: Combined effects of concave and convex nonlinearities in some elliptic problems
cites work: Elliptic variational problems in \(\mathbb{R}^N\) with critical growth
cites work: On semilinear elliptic equations with indefinite nonlinearities
cites work: A Picone's identity for the p-Laplacian and applications
cites work: Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities.
cites work: Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
cites work: Q3140494
cites work: Q3972980
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Remarks on sublinear elliptic equations
cites work: On a singular nonlinear dirichlet problem
cites work: A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
cites work: Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity
cites work: Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
cites work: Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
cites work: On uniqueness of positive solutions for a class of semilinear equations.
cites work: Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Soliton solutions for quasilinear Schrödinger equations, I
cites work: Soliton solutions for quasilinear Schrödinger equations. II.
cites work: Quasilinear elliptic equations via perturbation method
cites work: Quasilinear elliptic equations with critical growth via perturbation method
cites work: Multiple solutions for elliptic problem in \(\mathbb R^N\) with critical Sobolev exponent and weight function
cites work: On the first eigenvalue of some quasilinear elliptic equations
cites work: On the existence of soliton solutions to quasilinear Schrödinger equations
cites work: An exact estimate result for a class of singular equations with critical exponents
cites work: Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
cites work: On nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
cites work: On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
cites work: Multiple solutions for quasilinear Schrödinger equations with a parameter
cites work: Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
cites work: Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
description: scientific article; zbMATH DE number 7450071