Existence of solutions for singular critical semilinear elliptic equation

DOI10.1016/j.aml.2019.02.030zbMath1416.35116OpenAlexW2921862535WikidataQ128264606 ScholiaQ128264606MaRDI QIDQ1739507

Mengchao Wang, Qi Zhang

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.030

zbMATH Keywords

semilinear elliptic equationmountain pass lemmaHardy potentialHardy-Sobolev critical exponents

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)

Cites Work

• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
• Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents in \(\mathbb R^N\)
• The role played by space dimension in elliptic critical problems
• Existence of solution for a singular critical elliptic equation.
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Positive solutions for singular critical elliptic problems.
• Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
• Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy-Sobolev critical exponents
• A result on Hardy-Sobolev critical elliptic equations with boundary singularities
• Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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