Existence and nonexistence of solutions to nonlocal elliptic problems

Hamilton Bueno, Gilberto A. Pereira, Edcarlos D. Silva () and Ricardo Ruviaro
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Hamilton Bueno: Universidade Federal de Minas Gerais
Gilberto A. Pereira: Universidade Federal de Minas Gerais
Edcarlos D. Silva: Universidade Federal de Goiás
Ricardo Ruviaro: Universidade de Brasília

Partial Differential Equations and Applications, 2022, vol. 3, issue 1, 1-32

Abstract: Abstract It is established existence and nonexistence of solutions to nonlocal elliptic problems involving the generalized pseudo-relativistic Hartree equation. Our arguments are based on variational methods together with a fine analysis on the Pohozaev identity.

Keywords: Pohozaev identity; Variational methods; Hartree equations; Nonlocal elliptic problems; Regularity results; 35J47; 35J50; 47G20 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-021-00142-3

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