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

Abstract
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.

Language: English competition phenomena, nonlinear regularity, nonlinear maximum principle, strong comparison principle, bifurcation-type result, almost critical growth Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2020 str. 1774-1803 Vol. 30, iss. 2 517.956.2 1050-6926 10.1007/s12220-019-00278-0 18727769 206 143 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: The Journal of geometric analysis J. geom. anal. CRC Press 1050-6926 30685696

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