Some further results on a semilinear equation with concave-convex nonlinearity

DOI10.1016/j.na.2005.02.065zbMath1130.35032OpenAlexW2024758621MaRDI QIDQ1781540

Jianqing Chen

Publication date: 27 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.065

zbMATH Keywords

critical Hardy-Sobolev exponentsign changing solutionsMultiple solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity ⋮ Some further results for a class of weighted nonlinear elliptic equations ⋮ Sign changing solutions of \(p\)-fractional equations with concave-convex nonlinearities ⋮ Positive and sign-changing solutions for nonlinear equations with rapid growing weights ⋮ Multiple positive solutions for singular elliptic problems involving concave-convex nonlinearities and sign-changing potential ⋮ The critical Neumann problem for semilinear elliptic equations with concave perturbations ⋮ Existence of multiple positive weak solutions and estimates for extremal values to a class of elliptic problems with Hardy term and singular nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple positive solutions for a class of nonlinear elliptic equations
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• The role played by space dimension in elliptic critical problems
• Multiplicity results for an inhomogeneous Neumann problem with critical exponent
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On a class of singular elliptic problems with first order terms.
• Multiple solutions for a semilinear equation involving singular potential and critical exponent
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Multiplicity results for some nonlinear elliptic equations
• Minimax theorems
• Dual variational methods in critical point theory and applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Some results for semilinear elliptic equations with critical potential
• Selected new aspects of the calculus of variations in the large
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: Some further results on a semilinear equation with concave-convex nonlinearity