Nonexistence of radial node solutions for elliptic problems with critical Sobolev exponents

DOI10.1016/J.NA.2008.10.038zbMath1171.35381OpenAlexW2065868205MaRDI QIDQ1021708

Yinbin Deng, Ji-xiu Wang

Publication date: 9 June 2009

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.2008.10.038

zbMATH Keywords

nonexistencesign-changing solutions\(p\)-Laplace equationsHardy equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

The Pohozaev-type inequalities and their applications for a kind of elliptic equation (system) ⋮ Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions

Cites Work

• Unnamed Item
• Remarks on singular critical growth elliptic equations
• Nodal solutions of elliptic equations with critical Sobolev exponents
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Nodal solutions for Laplace equations with critical Sobolev and Hardy exponents on \(\mathbb R^N\)
• Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms
• Quasilinear elliptic equations involving critical Sobolev exponents
• A global compactness result for singular elliptic problems involving critical Sobolev exponent

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