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Nonlinear nonhomogeneous boundary value problems with competition phenomena
ID Papageorgiou, Nikolaos S. (Avtor), ID Rǎdulescu, Vicenţiu (Avtor), ID Repovš, Dušan (Avtor)

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Izvleček
We consider a nonlinear boundary value problem driven by a nonhomogeneous differential operator. The problem exhibits competing nonlinearities with a superlinear (convex) contribution coming from the reaction term and a sublinear (concave) contribution coming from the parametric boundary (source) term. We show that for all small parameter values ▫$\lambda > 0$▫, the problem has at least five nontrivial smooth solutions, four of constant sign and one nodal. We also produce extremal constant sign solutions and determine their monotonicity and continuity properties as the parameter ▫$\lambda > 0$▫ varies. In the semilinear case we produce a sixth nontrivial solution but without any sign information. Our approach uses variational methods together with truncation and perturbation techniques, and Morse theory.

Jezik:Angleški jezik
Ključne besede:nonlinear nonhomogeneous differential operator, nonlinear boundary condition, nonlinear regularity theory, nonlinear maximum principle, critical groups
Vrsta gradiva:Članek v reviji
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:PEF - Pedagoška fakulteta
FMF - Fakulteta za matematiko in fiziko
Leto izida:2019
Št. strani:Str. 251-298
Številčenje:Vol. 80, iss. 1
PID:20.500.12556/RUL-108776 Povezava se odpre v novem oknu
UDK:517.956.2
ISSN pri članku:0095-4616
DOI:10.1007/s00245-017-9465-6 Povezava se odpre v novem oknu
COBISS.SI-ID:18194265 Povezava se odpre v novem oknu
Datum objave v RUL:23.07.2019
Število ogledov:1003
Število prenosov:513
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Gradivo je del revije

Naslov:Applied mathematics and optimization
Skrajšan naslov:Appl. math. optim.
Založnik:Springer.
ISSN:0095-4616
COBISS.SI-ID:24984064 Povezava se odpre v novem oknu

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