Existence for the Hénon Equation Involving the Fractional Laplacian

DOI10.1515/ANS-2014-0206zbMath1301.35036OpenAlexW2509738901MaRDI QIDQ2923140

Xiaoli Chen, Yu Zhu

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0206

zbMATH Keywords

existencenonlinear systemcompactnesscritical Hardy-Sobolev exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Cites Work

• Ground state solutions for some indefinite variational problems
• A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
• Asymptotic behaviour of ground state solutions for the Henon equation

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