Geodesic
Existence of periodic solution for double-phase parabolic problems with strongly nonlinear source
Filomat, Tome 37 (2023) no. 27, p. 9357

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DOI

The aim of this paper is to study a degenerate double-phase parabolic problem with strongly nonlinear source under Dirichlet boundary conditions, proving the existence of a non-negative periodic weak solution. Our proof is based on the Leray-Schauder topological degree, which poses many problems for this type of equations, but has been overcome by using various techniques or well-known theorems. The system considered is a possible model for problems where the studied entity has different growth coefficients, p and q in our case, in different domains.
DOI : 10.2298/FIL2327357J
Classification : 35B10, 35K55, 35K65, 47H11
Keywords: Topological degree, Periodic solution, Dirichlet conditions, Generalized Sobolev spaces 
Hamza Jourhmane; Abderrazak Kassidi; Khalid Hilal; M ; hamed Elomari. Existence of periodic solution for double-phase parabolic problems with strongly nonlinear source. Filomat, Tome 37 (2023) no. 27, p. 9357 . doi: 10.2298/FIL2327357J
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     author = {Hamza Jourhmane and Abderrazak Kassidi and Khalid Hilal and M  and hamed Elomari},
     title = {Existence of periodic solution for double-phase parabolic problems with strongly nonlinear source},
     journal = {Filomat},
     pages = {9357 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327357J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327357J/}
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