A fractional Hadamard formula and applications

DOI10.1007/s00526-021-02094-3zbMath1476.49051arXiv2002.07719OpenAlexW3200262505MaRDI QIDQ2240694

Tobias Weth, Mouhamed Moustapha Fall, Sidy M. Djitte

Publication date: 4 November 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07719

zbMATH Keywords

fractional Laplacianfractional torsional rigidityone-sided shape derivativesprincipal Dirichlet eigenvaluessubcritical fractional Sobolev embeddings

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for PDEs with pseudodifferential operators (35S15) Optimization of shapes other than minimal surfaces (49Q10) Fractional partial differential equations (35R11)

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