Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
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Publication:4382350
DOI10.1090/S0002-9947-98-02085-6zbMath0912.35065MaRDI QIDQ4382350
Catherine Bandle, Alain Brillard, Martin Flucher
Publication date: 30 March 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Green's functioncritical exponentisoperimetric inequalitiesLaplace-Beltrami operatorPokhozaev identityharmonic transplantationbest Sobolev constantconcentration-compactness argument
Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15)
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