Combined effects in nonlinear singular elliptic problems in a bounded domain

By R. Chemmam, Habib Mâagli, S. Masmoudi, Malek Zribi. 2012

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Abstract. We establish an existence result of positive solutions to the following boundary value problem: where is a bounded -domain in ℝn, and are nonnegative functions in , , satisfying some appropriate assumptions related to Karamata regular variation theory. We give estimates on such solutions where appear the combined effects of singular and sublinear terms in the nonlinearity.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/61aa642d0def5550461ec2cdaffb4a196daf7370