▫$(p,2)$▫-equations asymmetric at both zero and infinity

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

We consider a ▫$(p,2)$▫-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a ▫$p$▫-Laplacian and a Laplacian with ▫$p>2$▫. The reaction term is ▫$(p-1)$▫-linear, but exhibits asymmetric behavior at ▫$\pm \infty$▫ and at ▫$0^\pm$▫. Using variational tools, together with truncation and comparison techniques and Morse theory, we prove two multiplicity theorems, one of them providing sign information for all the solutions (positive, negative, nodal).

• Jezik: Angleški jezik
• Ključne besede: asymmetric reaction, resonance, Fučik spectrum, constant sign solutions, nodal solution, critical groups, Morse relation
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 327-351
• Številčenje: Vol. 7, iss. 3
• PID: 20.500.12556/RUL-109201
• UDK: 517.956.2
• ISSN pri članku: 2191-9496
• DOI: 10.1515/anona-2017-0195
• COBISS.SI-ID: 18174297
• Datum objave v RUL: 26.08.2019

Gradivo je del revije

• Naslov: Advances in nonlinear analysis
• Založnik: De Gruyter
• ISSN: 2191-9496
• COBISS.SI-ID: 16253785