Non-existence of nodal solution for \(m\)-Laplace equation involving critical Sobolev exponents

DOI10.1007/BF02837176zbMath0755.35037OpenAlexW2005296478MaRDI QIDQ1198388

Adimurthi, S. L. Yadava

Publication date: 16 January 1993

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837176

zbMATH Keywords

Dirichlet problemcritical growth\(m\)-LaplacianPohozaev-type inequalityweighted eigenvalue inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70)

Cites Work

• Nodal solutions of elliptic equations with critical Sobolev exponents
• Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
• Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Radial solutions of a semilinear elliptic equation at a critical exponent
• Quasilinear elliptic equations involving critical Sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical sobolev exponent
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