Some existence results for a quasilinear problem with source term in Zygmund-space
Boussad Hamour
Ecole Normale Supérieure, Alger, Algeria
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Abstract
In this paper we study the existence of solution to the problem
where is an open bounded set of , a coercive matrix with coefficients in , a Carathéodory function satisfying, for some ,
Here belongs to and to , . For and sufficiently small, we prove the existence of at least one solution of this problem which is such that belongs to for some and satisfies an a priori estimate.
Cite this article
Boussad Hamour, Some existence results for a quasilinear problem with source term in Zygmund-space. Port. Math. 76 (2019), no. 3/4, pp. 259–286
DOI 10.4171/PM/2035