Title : ( EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR A p-LAPLACIAN INEQUALITY WITH STRONG DISSIPATION IN NONCYLINDRICAL DOMAINS )
Authors: Jorge Ferreira , Erhan Piskin , Mohammad Shahrouzi , Sebastiao Cordeiro , Carlos Raposo ,
Full TextAbstract
In this work, we obtain global solutions for nonlinear inequalities of p-Laplacian type in noncylindrical domains, for the unilateral problem with strong dissipation u00 − ∆ pu − ∆u0 − f ≥ 0 in Q0; where ∆ p is the nonlinear p-Laplacian operator with 2 ≤ p < 1, and Q0 is the noncylindrical domain. Our proof is based on a penalty argument by J. L. Lions and Faedo-Galerkin approximations.
Keywords
, Global solution; weak solutions; p, Laplacian inequality; strong dissipation; noncylindrical domain.
@article{paperid:1104643,
author = {Jorge Ferreira and Erhan Piskin and Shahrouzi, Mohammad and Sebastiao Cordeiro and Carlos Raposo},
title = {EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR A p-LAPLACIAN INEQUALITY WITH STRONG DISSIPATION IN NONCYLINDRICAL DOMAINS},
journal = {Electronic Journal of Differential Equations},
year = {2022},
volume = {2022},
number = {9},
month = {January},
issn = {1072-6691},
pages = {1--13},
numpages = {12},
keywords = {Global solution; weak solutions; p-Laplacian inequality; strong dissipation; noncylindrical domain.},
}
%0 Journal Article
%T EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR A p-LAPLACIAN INEQUALITY WITH STRONG DISSIPATION IN NONCYLINDRICAL DOMAINS
%A Jorge Ferreira
%A Erhan Piskin
%A Shahrouzi, Mohammad
%A Sebastiao Cordeiro
%A Carlos Raposo
%J Electronic Journal of Differential Equations
%@ 1072-6691
%D 2022
