Ground state and nodal solutions for a class of double phase problems

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

We consider a double phase problem driven by the sum of the ▫$p$▫-Laplace operator and a weighted ▫$q$▫-Laplacian ▫$(q<p)$▫, with a weight function which is not bounded away from zero. The reaction term is ▫$(p-1)$▫-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.

• Jezik: Angleški jezik
• Ključne besede: double phase operator, weight function, superlinear reaction, Nehari manifold, ground state solution, nodal solution
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2020
• Št. strani: Str. 1-15
• Številčenje: Vol. 71, Iss. 1, art. 15
• PID: 20.500.12556/RUL-116614
• UDK: 517.956.2
• ISSN pri članku: 0044-2275
• DOI: 10.1007/s00033-019-1239-3
• COBISS.SI-ID: 18868057
• Datum objave v RUL: 29.05.2020

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