First Variations of the Best Sobolev Trace Constant with Respect to the Domain

DOI10.4153/CMB-2008-016-5zbMath1132.35378MaRDI QIDQ5453657

Julio D. Rossi

Publication date: 3 April 2008

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33)

Related Items (6)

Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography ⋮ Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization ⋮ Balls minimize trace constants in BV ⋮ Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systems ⋮ OPTIMIZATION PROBLEM FOR EXTREMALS OF THE TRACE INEQUALITY IN DOMAINS WITH HOLES ⋮ On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue

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