Combined effects in nonlinear singular elliptic problems in a bounded domain

Rym Chemmam, Habib Mâagli, Syrine Masmoudi, Malek Zribi · Advances in Nonlinear Analysis · 2012

Abstract. We establish an existence result of positive solutions to the following boundary value problem: where is a bounded -domain in ℝ n , 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.

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