Large and entire large solutions for a class of nonlinear problems

Nedra Belhaj Rhouma and Amor Drissi

Applied Mathematics and Computation, 2014, vol. 232, issue C, 272-284

Abstract: In this paper, our main purpose is to establish the existence of entire large positive solutions to the quasilinear equation Δpu=β(x)h(u). We give also necessary conditions for the existence and nonexistence of such solutions. We distinguish the cases when β is radial and when it is nonradial.

Keywords: Entire solutions; Positive solution; Blow-up; Comparison principles (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:272-284

DOI: 10.1016/j.amc.2014.01.008

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