Estimates for the energy of the solutions to elliptic Dirichlet problems on convex domains

DOI10.1017/S0308210500003097zbMath1067.35024OpenAlexW2134369680MaRDI QIDQ4826259

Graziano Crasta

Publication date: 11 November 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003097

zbMATH Keywords

elliptic problemsconvex domainsweb functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inequalities and extremum problems involving convexity in convex geometry (52A40) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit ⋮ A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter ⋮ On the supremal version of the Alt-Caffarelli minimization problem ⋮ Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers

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