On the solvability of some parabolic equations involving nonlinear boundary conditions with L1 data

• Autorzy: Taourirte Laila , Charkaoui Abderrahim , Alaa Nour Eddine

Identyfikatory

DOI

10.7494/OpMath.2024.44.4.587

• Języki publikacji: EN

Abstrakty

EN

We analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and L1 data. We formulate our problems in an abstract form, then using some techniques of functional analysis, such as Leray-Schauder’s topological degree associated with the truncation method and very interesting compactness results, we establish the existence of weak solutions to the proposed models.

Słowa kluczowe

EN

quasilinear parabolic equation; nonlinear boundary conditions; weak solutions; Leray–Schauder topological degree; L1 data

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 4
• Strony: 587--623
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Taourirte Laila

• Ibn Zohr University, Higher School of Education and Training of Agadir, New University Complex, Agadir, 80000, Morocco

• https://orcid.org/0000-0001-7095-1416

autor

Charkaoui Abderrahim

• Interdisciplinary Research Laboratory in Sciences, Education and Training, Higher School of Education and Training of Berrechid (ESEFB), Hassan First University, Morocco

• https://orcid.org/0000-0003-1425-7248

autor

Alaa Nour Eddine

• Laboratory LAMAI, Faculty of Science and Technology of Marrakech, B.P. 549, Av. Abdelkarim Elkhattabi, 40000, Marrakech, Morocco

• https://orcid.org/0000-0001-8169-8663

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)