Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent

• Autorzy: Charkaoui Abderrahim , Fahim Houda , Alaa Nour Eddine

Identyfikatory

DOI

10.7494/OpMath.2021.41.1.25

• Języki publikacji: EN

Abstrakty

EN

We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer’s fixed point theorem combined with the sub- and supersolution method, we prove the existence results of a weak solutions to the considered problems.

Słowa kluczowe

EN

variable exponent; quasilinear equation; Schaeffer’s fixed point; subsolution, supersolution; weak solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 1
• Strony: 25--53
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Charkaoui Abderrahim

• Laboratory LAMAI Faculty of Science and Technology of Marrakech B.P. 549, Av. Abdelkarim Elkhattabi, 40 000, Marrakech, Morocco

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

autor

Fahim Houda

• Laboratory LAMAI Faculty of Science and Technology of Marrakech B.P. 549, Av. Abdelkarim Elkhattabi, 40 000, Marrakech, Morocco

autor

Alaa Nour Eddine

• Laboratory LAMAI Faculty of Science and Technology of Marrakech B.P. 549, Av. Abdelkarim Elkhattabi, 40 000, Marrakech, Morocco

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

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).