Bounded weak solutions to nonlinear elliptic equations
In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\infty}$-estimates. A priori estimates and...
Main Authors: | Abderrahmane El Hachimi, Jaouad Igbida |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2009-03-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=363 |
Similar Items
-
Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces
by: Bourahma M., et al.
Published: (2020-06-01) -
Weak solutions for anisotropic nonlinear elliptic equations with variable exponents
by: Sado Traore, et al.
Published: (2009-11-01) -
Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
by: Ahmed Youssfi
Published: (2007-04-01) -
Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
by: Duc Nguyen Vinh
Published: (2018-01-01) -
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Published: (2006-01-01)