Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Opuscula Mathematica

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

Taourirte Laila, Charkaoui Abderrahim, Alaa Nour Eddine

Opuscula Mathematica

2024

Vol. 44, no. 4

587--623

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.

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

Charkaoui Abderrahim, Fahim Houda, Alaa Nour Eddine

Opuscula Mathematica

2021

Vol. 41, no. 1

25--53

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.