Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth
type: Item
instance of: scholarly article
title: Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth
zbMATH Open document ID: 1399.35044
DOI: 10.1016/S0252-9602(18)30763-X
author: Yang Pu
author: Chun-Lei Tang
author: Jia-Feng Liao
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2018-06-07T00:00:00Z
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 6881894
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: critical growth
zbMATH Keywords: positive solutions
zbMATH Keywords: Nehari method
zbMATH Keywords: variational method
MaRDI profile type: Publication
cites work: Elliptic variational problems in \(\mathbb{R}^N\) with critical growth
cites work: Combined effects of concave and convex nonlinearities in some elliptic problems
cites work: On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Q3972980
cites work: The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
cites work: Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity
cites work: Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth
cites work: Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
cites work: On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem
cites work: Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity
cites work: Multiple solutions for a non-homogeneous elliptic equation at the critical exponent
cites work: Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
cites work: Finite Morse index solutions of weighted elliptic equations and the critical exponents
cites work: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
cites work: Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents
cites work: Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on \(\mathbb R^N\)
cites work: Multiple positive solutions of nonhomogeneous equations involving the \(p\)-Laplacian
cites work: Three positive solutions for semilinear elliptic problems involving concave and convex nonlinearities
cites work: On uniqueness of positive solutions for a class of semilinear equations.
cites work: A perturbation method in semilinear elliptic problems involving critical Hardy-Sobolev exponent
cites work: Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent
cites work: Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
cites work: Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents
cites work: Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Quasilinear elliptic equations with critical growth via perturbation method
cites work: Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent
cites work: Q3749777
cites work: Q5526190
cites work: Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities
cites work: Q4714152
cites work: Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
cites work: On nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Multiplicity results for an inhomogeneous Neumann problem with critical exponent
cites work: On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
cites work: On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function
cites work: Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
cites work: Infinitely many sign-changing solutions for the Brezis-Nirenberg problem involving Hardy potential
cites work: On ground state solutions for quasilinear elliptic equations with a general nonlinearity in the critical growth
full work available at URL: s0252-9602(18)30763-x
OpenAlex ID: W2792731076
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description: scientific article; zbMATH DE number 6881894