Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms

L Boccardo, D Giachetti, JI Diaz, F Murat - J. Differential …, 1993 - researchgate.net
Contents. l. Results and comments. 1. 1. Definition and existence of renormalized solutions.
1.2. Renormalized solutions and usual weak solutions. 1.3. Energy identities for …

[PDF][PDF] Strongly nonlinear elliptic equations having natural growth terms and L1 data

L Boccardo, T Gallouët - Nonlinear Analysis: Theory, Methods & …, 1992 - researchgate.net
I46 s, 0 5 Pw-’ + IW’ + k(x)); 1 Page 1 Nonlmear Analysis, Theory, Methods & Applmmons, vol. 19.
No. 6, pp. 573-579, 1992. 0362-546X192 $5.00+ .OO Prinied in Great Britain. Pergamon Press …

Existence result for a Dirichlet problem governed by nonlinear degenerate elliptic equation in weighted Sobolev spaces

ME Ouaarabi, A Abbassi, C Allalou - Journal of Elliptic and Parabolic …, 2021 - Springer
In this paper, we prove the existence and uniqueness of solution to a Dirichlet boundary
value problems for the following nonlinear degenerate elliptic equation-div [ω 1 A (x,∇ u)+ ω …

[PDF][PDF] Existence and nonexistence of solutions for some nonlinear elliptic equations

L Boccardo, T GallouËt, L Orsina - Journal d'Analyse …, 1997 - academia.edu
1 by the authors in 6], which states that every measure which is zero on sets of zero capacity
is an element of L1 ()+ H? 1 ()(see also Theorem 2.3, below). We will also prove that if we …

Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small

V Ferone, F Murat - Nonlinear Analysis: Theory, Methods & Applications, 2000 - Elsevier
Nonlinear problems having natural growth in the gradient: an existence result when the source
terms are small - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Nonsmooth critical point theory and quasilinear elliptic equations

A Canino, M Degiovanni - … methods in differential equations and inclusions, 1995 - Springer
These lectures are devoted to a generalized critical point theory for nonsmooth functionals
and to existence of multiple solutions for quasilinear elliptic equations. If f is a continuous …

Existence and nonexistence of solutions for singular quadratic quasilinear equations

D Arcoya, J Carmona, T Leonori… - Journal of Differential …, 2009 - Elsevier
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic
problems with singular lower order terms that have natural growth with respect to the …

Existence and uniqueness of weak solution in weighted Sobolev spaces for a class of nonlinear degenerate elliptic problems with measure data

M El Ouaarabi, A Abbassi… - International Journal of …, 2022 - ijnaa.semnan.ac.ir
In this paper, we study the existence and uniqueness of weak solution to a Dirichlet
boundary value problems for the following nonlinear degenerate elliptic problems\begin …

Dirichlet problems with singular and gradient quadratic lower order terms

L Boccardo - ESAIM: Control, Optimisation and Calculus of …, 2008 - numdam.org
We present a revisited form of a result proved in [Boccardo, Murat and Puel, Portugaliae
Math. 41 (1982) 507–534] and then we adapt the new proof in order to show the existence …

An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces

A Benkirane, A Elmahi - Nonlinear Analysis: Theory, Methods & …, 1999 - Elsevier
An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces - ScienceDirect
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