Multiplicity of solutions for elliptic quasilinear equations with critical exponent on compact manifolds

DOI10.1016/J.NA.2009.05.017zbMath1183.58017OpenAlexW2029189403WikidataQ125788855 ScholiaQ125788855MaRDI QIDQ1044464

Youssef Maliki, Mohammed Benalili

Publication date: 18 December 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.2009.05.017

zbMATH Keywords

multiplicity of solutions\(p\)-Laplacian operatorcritical Sobolev growth

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05)

Related Items (4)

Existence and multiplicity results for nonlinear critical Neumann problem on compact Riemannian manifolds ⋮ On the \(p\)-Laplacian Lichnerowicz equation on compact Riemannian manifolds ⋮ A quasilinear elliptic equation with critical growth on compact Riemannian manifold ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian

Cites Work

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• Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth
• Multiplicity for a problem of prescribed scalar curvature
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Quasilinear elliptic equations involving critical Sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Generalized scalar curvature type equations on compact Riemannian manifolds
• Weak solutions to general Euler's equations via nonsmooth critical point theory

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