Yamabe equations on half-spaces

DOI10.1016/S0362-546X(98)00041-8zbMath0941.35025OpenAlexW2110603404MaRDI QIDQ4254147

Gabriele Bianchi, Xing-Bin Pan

Publication date: 28 June 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00041-8

zbMATH Keywords

existenceYamabe problemcritical Sobolev exponentsymmetric functionsminimal positive solutionNehari method

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (8)

Nonlinear problem with subcritical exponent in Sobolev space ⋮ Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere ⋮ A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ Prescribing scalar and boundary mean curvature on the three dimensional half sphere ⋮ Blowing up of sign-changing solutions to a subcritical problem ⋮ Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\) ⋮ The scalar curvature problem on the four dimensional half sphere ⋮ On the Prescribed Scalar and Zero Mean Curvature on 3-Dimensional Manifolds With Umbilic Boundary

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