Sharp Sobolev inequalities with interior norms

DOI10.1007/S005260050115zbMath0918.35029OpenAlexW1985270208MaRDI QIDQ1283879

Meijun Zhu

Publication date: 31 May 1999

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050115

zbMATH Keywords

sharp Sobolev inequalitiestrace inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

Extremal maps in best constants vector theory. I: Duality and compactness ⋮ On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary. ⋮ On the nonhomogeneous Neumann problem with weight and with critical nonlinearity in the boundary ⋮ Some nonlinear elliptic equations from geometry ⋮ On the critical Neumann problem with weight in exterior domains. ⋮ A sharp inequality for Sobolev functions ⋮ Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation.

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