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Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems [Elektronski vir]Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, FrancescaWe consider a parametric Neumann problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential term. The reaction term is superlinear but does not satisfy the ... Ambrosetti-Rabinowitz condition. First we prove a bifurcation-type result describing in a precise way the dependence of the set of positive solutions on the parameter ▫$\lambda>0$▫. We also show the existence of a smallest positive solution. Similar results hold for the negative solutions and in this case we have a biggest negative solution. Finally using the extremal constant sign solutions we produce a smooth nodal solution.Source: Electronic journal of differential equations [Elektronski vir]. - ISSN 1072-6691 (Vol. 2020, 2020, art. no. 12, str. 1-20)Type of material - e-articlePublish date - 2020Language - englishCOBISS.SI-ID - 18912345
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Papageorgiou, Nikolaos, 1958- | 38771 |
Vetro, Calogero | ![]() |
Vetro, Francesca | ![]() |
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