Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

2019 ◽  
Vol 480 (1) ◽  
pp. 123386
Author(s):  
Alkis S. Tersenov ◽  
Aris S. Tersenov
Keyword(s):  
Parabolic Equations ◽  
Existence Results ◽  
Time Dependent ◽  
Gradient Term ◽  
Quasilinear Parabolic Equations ◽  
Quasilinear Parabolic

Existence results for some quasilinear parabolic equations

1989 ◽  
Vol 13 (4) ◽  
pp. 373-392 ◽  
Author(s):  
Lucio Boccardo ◽  
FranÇois Murat ◽  
Jean-Pierre Puel
Keyword(s):  
Parabolic Equations ◽  
Existence Results ◽  
Quasilinear Parabolic Equations ◽  
Quasilinear Parabolic

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

2021 ◽  
Vol 41 (1) ◽  
pp. 25-53
Author(s):  
Abderrahim Charkaoui ◽  
Houda Fahim ◽  
Nour Eddine Alaa
Keyword(s):  
Fixed Point ◽  
Parabolic Equations ◽  
Variable Exponent ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Quasilinear Parabolic Equations ◽  
Nonstandard Growth ◽  
Nonlinear Parabolic ◽  
Nonstandard Growth Condition ◽  
Quasilinear Parabolic

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.

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