A Multiplicity Result for a Non-Autonomous Sublinear Elliptic Problem Involving Nonlinearities Indefinite in Sign

Authors

  • Giovanni Anello, Luca Furnari Author

Keywords:

Sublinear elliptic problem, weight function, nonnegative solution, positive solution, minimax method, mountain pass, multiplicity.

Abstract

Let Ω be a bounded smooth domain in RN, let α,β Ω R be two measurable functions, and let s and r ,s. We deal with the following non autonomous elliptic problem ∆u αxus− µβxur− , u u|∂Ω , Ω Ω where µ R is a parameter. We establish, via minimax methods, a multiplicity result under suitable summability conditions on the weight functions α,β. 

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Published

2019-01-05

Issue

Vol. 4 No. 1 (2019): volume 4 issue 1 (2019)

Section

Articles

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How to Cite

A Multiplicity Result for a Non-Autonomous Sublinear Elliptic Problem Involving Nonlinearities Indefinite in Sign. (2019). Minimax Theory and Its Applications, 4(1), 21–32. https://journalmta.com/index.php/jmta/article/view/52