Properties of the least action level and the existence of ground state solution to fractional elliptic equation with harmonic potential

• Autorzy: Ledesma César E. Torres , Gutierrez Hernán C. , Rodríguez Jesús A. , Bonilla Manuel M.

Identyfikatory

DOI

10.7494/OpMath.2024.44.5.749

• Języki publikacji: EN

Abstrakty

EN

In this article we consider the following fractional semilinear elliptic equation [formula]. By using variational methods we show the existence of a symmetric decreasing ground state solution of this equation. Moreover, we study some continuity and differentiability properties of the ground state level. Finally, we consider a bifurcation type result.

Słowa kluczowe

EN

harmonic potential; fractional Sobolev spaces; ground state solution; bifurcation result; variational method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 5
• Strony: 749--765
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Ledesma César E. Torres

• FCA Research Group, Departamento de Matemáticas, Instituto de Investigación en Matemáticas, Faculta de Ciencias Físicas y Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n. Trujillo-Perú

• https://orcid.org/0000-0002-6889-4982

autor

Gutierrez Hernán C.

• FCA Research Group, Departamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n. Trujillo-Perú

• https://orcid.org/0000-0001-8947-5368

autor

Rodríguez Jesús A.

• FCA Research Group, Departamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n. Trujillo-Perú

• https://orcid.org/0000-0001-7070-4781

autor

Bonilla Manuel M.

• FCA Research Group, Departamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n. Trujillo-Perú

• https://orcid.org/0000-0002-5437-7802

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)