Positive solutions for some semilinear elliptic equations with critical sobolev exponents

DOI10.1002/cpa.3160400507zbMath0635.35033OpenAlexW2012505286MaRDI QIDQ3774230

Jose F. Escobar

Publication date: 1987

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160400507

zbMATH Keywords

Riemannian metricexistencesemilinear elliptic equationspositive solutionsSobolev exponentvariational methodsmanifold with boundaryconformal geometryflat manifoldsnonlinear Poisson equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Compact analytic spaces (32J99)

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