Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems

zbMath1176.46035MaRDI QIDQ930313

Ireneo Peral Alonso, Eduardo Colorado, Boumediene Abdellaoui

Publication date: 27 June 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

mixed Dirichlet-Neumann boundary conditionsHardy-Sobolev inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10)

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