Keyword: Leray-lions Operator : Search

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Search name	Searched On	Run search
Keyword: Leray-lions Operator (1)	31 Mar 2025	Run
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Keyword: P-laplacian Operator (11)	31 Mar 2025	Run
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chapterNo Access
Some remarks on a sign condition for perturbations of nonlinear problems
- A. Benkirane,
- J. Bennouna, and
- M. Rhoudaf
Recent Developments in Nonlinear Analysis01 Mar 2010
Preview Abstract
In this paper, we shall be concerned with the existence result of the quasilinear elliptic equations of the form,
, where A is a Leray-Lions operator from into its dual. On the nonlinear lower order term g(x, u, ∇u), we assume that it is a Carathéodory function having natural growth with respect to |∇u|, but without assuming the sign condition. The main novelty of our work is a new technique based on a Poincaré's inequality. The right hand side f belongs to W^-1,P′(Ω).

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