20.500.12556/RUL-109142
Existence and multiplicity of solutions for resonant ▫$(p,2)$▫-equations
We consider Dirichlet elliptic equations driven by the sum of a ▫$p$▫-Laplacian ▫$(2 < p)$▫ and a Laplacian. The conditions on the reaction term imply that the problem is resonant at both ▫$\pm \infty$▫ and at zero. We prove an existence theorem (producing one nontrivial smooth solution) and a multiplicity theorem (producing five nontrivial smooth solutions, four of constant sign and the fifth nodal; the solutions are ordered). Our approach uses variational methods and critical groups.
resonance
variational eigenvalues
critical groups
nonlinear regularity
multiple solutions
nodal solutions
true
false
true
Angleški jezik
Ni določen
Članek v reviji
2019-08-23 07:58:01
2019-08-23 07:58:02
2022-08-21 03:40:15
0000-00-00 00:00:00
2018
0
0
Str. 105-129
iss. 1
Vol. 18
Feb. 2018
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
517.956.2
1536-1365
10.1515/ans-2017-0009
18001241
15060569
RAZ_Papageorgiou_Nikolaos_i2018.pdf
RAZ_Papageorgiou_Nikolaos_i2018.pdf
1
33986A88DF192E5784514D9AB9BC70DA
0e2c0ee8f9020efa5d2f7032ff40f19bf3f377ebff3d655adcb1d9c9bb828bb5
cb043399-a1b6-11eb-a523-00155dcfd717
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120638
https://www.degruyter.com/view/j/ans.ahead-of-print/ans-2017-0009/ans-2017-0009.xml?format=INT
1
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120600
Pedagoška fakulteta
Fakulteta za matematiko in fiziko
0
0
0