Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient

Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient

In this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and angiogenesis. The nonlinearity we consider has critical growth with respect to the gradient and the data are in L^1.

Bibliographic Details
Main Authors: Abdelhaq Mouida, Noureddine Alaa, Salim Mesbahi, Walid Bouarifi
Format: Article
Language:English
Published: Texas State University 2013-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Degenerate elliptic systems
auasilinear
chemotaxis
angiogenesis
weak solutions
Online Access:http://ejde.math.txstate.edu/Volumes/2013/142/abstr.html
id doaj-a3a4955810f74efba5689c93c7b47414
record_format Article
spelling doaj-a3a4955810f74efba5689c93c7b474142020-11-25T02:41:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-06-012013142,113Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradientAbdelhaq MouidaNoureddine AlaaSalim MesbahiWalid BouarifiIn this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and angiogenesis. The nonlinearity we consider has critical growth with respect to the gradient and the data are in L^1. http://ejde.math.txstate.edu/Volumes/2013/142/abstr.htmlDegenerate elliptic systemsauasilinearchemotaxisangiogenesisweak solutions
collection DOAJ
language English
format Article
sources DOAJ
author Abdelhaq Mouida
Noureddine Alaa
Salim Mesbahi
Walid Bouarifi
spellingShingle Abdelhaq Mouida
Noureddine Alaa
Salim Mesbahi
Walid Bouarifi
Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
Electronic Journal of Differential Equations
Degenerate elliptic systems
auasilinear
chemotaxis
angiogenesis
weak solutions
author_facet Abdelhaq Mouida
Noureddine Alaa
Salim Mesbahi
Walid Bouarifi
author_sort Abdelhaq Mouida
title Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
title_short Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
title_full Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
title_fullStr Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
title_full_unstemmed Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient
title_sort existence of solutions for quasilinear elliptic degenerate systems with l^1 data and nonlinearity in the gradient
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-06-01
description In this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and angiogenesis. The nonlinearity we consider has critical growth with respect to the gradient and the data are in L^1.
topic Degenerate elliptic systems
auasilinear
chemotaxis
angiogenesis
weak solutions
url http://ejde.math.txstate.edu/Volumes/2013/142/abstr.html
work_keys_str_mv AT abdelhaqmouida existenceofsolutionsforquasilinearellipticdegeneratesystemswithl1dataandnonlinearityinthegradient
AT noureddinealaa existenceofsolutionsforquasilinearellipticdegeneratesystemswithl1dataandnonlinearityinthegradient
AT salimmesbahi existenceofsolutionsforquasilinearellipticdegeneratesystemswithl1dataandnonlinearityinthegradient
AT walidbouarifi existenceofsolutionsforquasilinearellipticdegeneratesystemswithl1dataandnonlinearityinthegradient
_version_ 1724779564717047808

Similar Items