Positive solutions for superdiffusive mixed problems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2018Embargo end date: 01 Nov 2017 Slovenia English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 77, pages 87-93 (issn: 0893-9659,

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Authors: Nikolaos S. Papageorgiou; Vicentiu D. Radulescu; Dusan Repovs;

doi: 10.1016/j.aml.2017.09.017 , 10.48550/arxiv.1711.01884

arXiv: 1711.01884

handle: 20.500.12556/RUL-109198

Positive solutions for superdiffusive mixed problems

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Abstract

We study a semilinear parametric elliptic equation with superdiffusive reaction and mixed boundary conditions. Using variational methods, together with suitable truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions.

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Slovenia

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Keywords

Variational methods for second-order elliptic equations, positive solutions, Semilinear elliptic equations, mixed boundary condition, info:eu-repo/classification/udc/517.956.2, semilinear equation, Mathematics - Analysis of PDEs, superdiffusive reaction, Boundary value problems for second-order elliptic equations, truncations, FOS: Mathematics, bifurcation-type result, 35J20, 35J25, 35J60, Analysis of PDEs (math.AP)

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