Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity

DOI10.1016/j.na.2015.10.007zbMath1329.35150OpenAlexW2194296784MaRDI QIDQ898361

Yaoping Chen, Jianqing Chen

Publication date: 8 December 2015

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.2015.10.007

zbMATH Keywords

variational methodscritical Sobolev exponentmultiple positive solutionssingular potential

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (7)

Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ An exact estimate result for a semilinear equation with critical exponent and prescribed singularity ⋮ Multiple solutions for nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent ⋮ Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ On quasi-linear equation problems involving critical and singular nonlinearities ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent

Cites Work

• Unnamed Item
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Best constant in Sobolev inequality
• The role played by space dimension in elliptic critical problems
• Existence of solutions for a nonlinear PDE with an inverse square potential.
• Multiple positive solutions for a semilinear equation with prescribed singularity
• 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
• Existence of multiple positive weak solutions and estimates for extremal values to a class of elliptic problems with Hardy term and singular nonlinearity
• A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type
• Multiple positive and sign-changing solutions for a singular Schrödinger equation with critical growth
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity