Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in \({\mathbb{R}}^ 2\)

DOI10.1007/BF02874647zbMath0681.35032OpenAlexW1977096260MaRDI QIDQ1823386

Adimurthi

Publication date: 1989

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/bf02874647

zbMATH Keywords

ellipticDirichlet problemenergy functionalPalais-Smale conditionsuperlinearcriticalpositive radial solutionsemilinear

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

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• Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\)
• Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in \({\mathbb{R}}^ 2\)
• On a Class of Nonlinear Second-Order Differential Equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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