Double-phase problems with reaction of arbitrary growth
We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed only near the origin. Using truncation and comparison techniques and Morse theory, we show that the problem has multiple solutions in the case of high perturbations. We also show that if a symmetry condition is imposed to the reaction term, then we can generate a sequence of distinct nodal solutions with smaller and smaller energies.
double-phase problem
nonlinear maximum principle
nonlinear regularity theory
critical point theory
critical groups
true
false
true
Angleški jezik
Angleški jezik
Članek v reviji
2019-08-23 13:05:31
2019-08-23 13:05:33
2021-04-20 13:06:04
0000-00-00 00:00:00
2018
0
0
Str. 1-21
art. 108
iss. 4
Aug. 2018
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
517.956.2
0044-2275
10.1007/s00033-018-1001-2
18409561
26662656
RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf
RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf
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caa00cb9-a1b6-11eb-a523-00155dcfd717
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120631
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