Characterization for the Kuratowski limits of a sequence of Sobolev spaces

DOI10.1006/jdeq.1998.3497zbMath0924.46028OpenAlexW1977084157MaRDI QIDQ1283977

Dorin Bucur

Publication date: 11 November 1999

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3497

zbMATH Keywords

Dirichlet problemSobolev spacescapacity\(p\)-LaplacianKuratowski-Mosco limits

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Domain perturbations and estimates for the solutions of second order elliptic equations. ⋮ Shape sensitivity for the Laplace--Beltrami operator with singularities. ⋮ Weak and strong approximation of semigroups on Hilbert spaces ⋮ Domain perturbation and invariant manifolds ⋮ Characterization of the shape stability for nonlinear elliptic problems ⋮ Dirichlet problems on varying domains.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets
• Limits of nonlinear Dirichlet problems in varying domains
• Potential and scattering theory on wildly perturbed domains
• An existence result for a class of shape optimization problems
• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• On optimal shape design
• \(N\)-dimensional shape optimization under capacitary constraint
• Convergence of convex sets and of solutions of variational inequalities
• Supersolutions to Degenerate Elliptic Equations on Quasi open Sets
• On the solvability and stability of the Dirichlet problem

This page was built for publication: Characterization for the Kuratowski limits of a sequence of Sobolev spaces