Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case

DOI10.1016/S0362-546X(01)00813-6zbMath1066.35032OpenAlexW4298193613MaRDI QIDQ697520

Michel Vaugon, Olivier Druet, Emmanuel Hebey

Publication date: 17 September 2002

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/s0362-546x(01)00813-6

zbMATH Keywords

Riemannian manifoldscritical Sobolev exponentquasilinear elliptic equationsPokhozhaev obstruction

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05)

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Interior estimates for some semilinear elliptic problem with critical nonlinearity ⋮ The critical Lazer-McKenna conjecture in low dimensions ⋮ Nonexistence of bounded energy solutions for a critical exponent problem ⋮ Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter

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