Multiple solutions for resonant problems of the Robin ▫$p$▫-Laplacian plus an indefinite potential

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

We study a nonlinear boundary value problem driven by the ▫$p$▫-Laplacian plus an indefinite potential with Robin boundary condition. The reaction term is a Carathéodory function which is asymptotically resonant at ▫$\pm \infty$▫ with respect to a nonprincipal Ljusternik-Schnirelmann eigenvalue. Using variational methods, together with Morse theory and truncation-perturbation techniques, we show that the problem has at least three nontrivial smooth solutions, two of which have a fixed sign.

• Jezik: Angleški jezik
• Ključne besede: p-Laplacian, Robin boundary condition, resonance, critical groups, multiple nontrivial smooth solutions, indefinite potential
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2017
• Št. strani: art. 63 [23 str.]
• Številčenje: Vol. 56, iss. 3
• PID: 20.500.12556/RUL-110020
• UDK: 517.956.2
• ISSN pri članku: 0944-2669
• DOI: http://dx.doi.org/10.1007/s00526-017-1164-2
• COBISS.SI-ID: 18019929
• Datum objave v RUL: 11.09.2019

Gradivo je del revije

• Naslov: Calculus of variations and partial differential equations
• Skrajšan naslov: Calc. var. partial differ. equ.
• Založnik: Springer
• ISSN: 0944-2669
• COBISS.SI-ID: 3677529