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- Title
NONLINEAR PROBLEM HAVING NATURAL GROWTH TERM AND MEASURE DATA.
- Authors
KONATÉ, IBRAHIME; IDRISSA, IBRANGO; OUARO, STANISLAS
- Abstract
The aim of this paper is to study the existence of solutions of multivalued nonlinear elliptic problems involving the natural growth term, measure data and the general p(.)-Leray-Lions type operator. Using a decomposition of Radon diffuse measure due to Nyanquini et al.(see [26]) and approximation method, we construct an approximate problem and solve it by the technic of maximal monotone operators in Banach spaces. We prove that the approximate solutions converge to the solution of the studied problem.
- Subjects
NONLINEAR equations; BANACH spaces; RADON transforms; MONOTONE operators; RADON; PROBLEM solving
- Publication
Annals of Oradea University - Mathematics Fascicola, 2024, Vol 31, Issue 1, p85
- ISSN
1221-1265
- Publication type
Article