A generalized fractional Pohozaev identity and applications

DOI10.1515/ACV-2022-0003zbMath1530.35342arXiv2112.10653OpenAlexW4367677663MaRDI QIDQ6187108

Sidy M. Djitte, Mouhamed Moustapha, Tobias Weth

Publication date: 10 January 2024

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10653

zbMATH Keywords

Hadamard formulasupercritical Dirichlet problemfractional Pohozaev identity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
• The Pohozaev identity for the fractional Laplacian
• Pohozaev obstructions on non-starlike domains
• Uniqueness theorems for variational problems by the method of transformation groups
• Non-symmetric stable operators: regularity theory and integration by parts
• Morse index versus radial symmetry for fractional Dirichlet problems
• A fractional Hadamard formula and applications
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Gradient Estimates in fractional Dirichlet Problems
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Fractional p-eigenvalues

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