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- Title
STRONGLY NONLINEAR NONHOMOGENEOUS ELLIPTIC UNILATERAL PROBLEMS WITH L¹ DATA AND NO SIGN CONDITIONS.
- Authors
AZROUL, ELHOUSSINE; REDWANE, HICHAM; YAZOUGH, CHIHAB
- Abstract
In this article, we prove the existence of solutions to unilateral problems involving nonlinear operators of the form: Au + H(x, u, ∇u) = f where A is a Leray Lions operator from W01,p(x) (Ω) into its dual W-1,p'(x) (Ω) and H(x, s, ξ) is the nonlinear term satisfying some growth condition but no sign condition. The right hand side f belong to L¹ (Ω).
- Subjects
NONLINEAR operators; NONLINEAR operator equations; UPPER &; lower solutions (Mathematics); OPERATOR theory; SPACES of measures
- Publication
Electronic Journal of Differential Equations, 2012, Vol 2012, p1
- ISSN
1550-6150
- Publication type
Article