20.500.12556/RUL-121291
Robin double-phase problems with singular and superlinear terms
We consider a nonlinear Robin problem driven by the sum of ▫$p$▫-Laplacian and ▫$q$▫-Laplacian (i.e. the ▫$p, q)$▫-equation). In the reaction there are competing effects of a singular term and a parametric perturbation ▫$\lambda f(z,x)$▫, which is Carathéodory and ▫$(p-1)$▫-superlinear at ▫$x \in \mathbb{R}$▫ without satisfying the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.
nonhomogeneous differential operator
nonlinear regularity theory
truncation
strong comparison principle
positive solutions
true
false
true
Angleški jezik
Ni določen
Članek v reviji
2020-10-02 13:44:28
2020-10-02 13:44:33
2022-09-02 03:58:47
0000-00-00 00:00:00
2021
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0
art. 103217 (20 str.)
Vol. 58
Apr.. 2021
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
517.956
1468-1218
10.1016/j.nonrwa.2020.103217
30724867
10725465
RAZ_Papageorgiou_Nikolaos_2021.pdf
RAZ_Papageorgiou_Nikolaos_2021.pdf
1
43292F695FC50CB63B9E2461F95799B0
ab0a67fdbd93189b184ff653e493d88b3a622049dda7cfc7b92aaf5d7041e1be
cd8d8530-a1ba-11eb-a523-00155dcfd717
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=136201
Pedagoška fakulteta
Fakulteta za matematiko in fiziko
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