Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction
ID Papageorgiou, Nikolaos S. (Author), ID Repovš, Dušan (Author), ID Vetro, Calogero (Author)

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We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, ▫$(p-1)$▫-sublinear with a partially concave nonlinearity near zero. The other is ▫$(p-1)$▫-superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.

Keywords:competition phenomena, nonlinear regularity, nonlinear maximum principle, strong comparison principle, bifurcation-type result, almost critical growth
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Number of pages:Str. 1774-1803
Numbering:Vol. 30, iss. 2
PID:20.500.12556/RUL-116580 This link opens in a new window
ISSN on article:1050-6926
DOI:10.1007/s12220-019-00278-0 This link opens in a new window
COBISS.SI-ID:18727769 This link opens in a new window
Publication date in RUL:28.05.2020
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Record is a part of a journal

Title:The journal of geometric analysis
Shortened title:J. geom. anal.
Publisher:Springer Nature, Mathematica Josephina, Inc.
COBISS.SI-ID:30685696 This link opens in a new window

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