Double-phase problems with reaction of arbitrary growth

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

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.

• Jezik: Angleški jezik
• Ključne besede: double-phase problem, nonlinear maximum principle, nonlinear regularity theory, critical point theory, 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: 2018
• Št. strani: Str. 1-21
• Številčenje: art. 108, iss. 4
• PID: 20.500.12556/RUL-109147
• UDK: 517.956.2
• ISSN pri članku: 0044-2275
• DOI: 10.1007/s00033-018-1001-2
• COBISS.SI-ID: 18409561
• Datum objave v RUL: 23.08.2019

Gradivo je del revije

• Naslov: Zeitschrift für angewandte Mathematik und Physik
• Skrajšan naslov: Z. angew. Math. Phys.
• Založnik: Birkhaeuser Verlag
• ISSN: 0044-2275
• COBISS.SI-ID: 26662656