Existence and regularity of optimal shapes for elliptic operators with drift
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Publication:2334528
DOI10.1007/s00526-019-1653-6zbMath1428.49044arXiv1810.07943OpenAlexW2988948443WikidataQ126861950 ScholiaQ126861950MaRDI QIDQ2334528
Emmanuel Russ, Bozhidar Velichkov, Baptiste Trey
Publication date: 7 November 2019
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.07943
Eigenvalue problems for linear operators (47A75) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)
Related Items
Epsilon-regularity for the solutions of a free boundary system, Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold, Regularity of the optimal sets for the second Dirichlet eigenvalue, Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form, Regularity of the free boundary for the two-phase Bernoulli problem, Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations, Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients, Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue
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