A double phase problem with a nonlinear boundary condition

Choudhuri, Debajyoti (avtor), Repovš, Dušan (avtor), Saoudi, Kamel (avtor)

In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in nature. The driving nonlinear perturbations obey a suitable condition at the origin and on the boundary. To the best of our knowledge, a double phase measure data problem with nonlinear boundary condition is new and has not been studied yet. The novelty of our work lies in using the well known weak convergence method to guarantee the existence of solutions. We also provide an illustrative example.

• Jezik: Angleški jezik
• Ključne besede: variable exponent Sobolev space, double phase operator, nonlinear boundary condition, Steklov eigenvalue problem, Robin eigenvalue problem, existence
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Datum objave: 01.07.2023
• Leto izida: 2023
• Št. strani: 17 str.
• Številčenje: Vol. 46, iss. 4, art. 121
• PID: 20.500.12556/RUL-146155
• UDK: 517.9
• ISSN pri članku: 0126-6705
• DOI: 10.1007/s40840-023-01513-2
• COBISS.SI-ID: 152552963
• Datum objave v RUL: 22.05.2023

Gradivo je del revije

• Naslov: Bulletin of the Malaysian Mathematical Sciences Society
• Skrajšan naslov: Bull. Malays. Math. Sci. Soc.
• Založnik: Springer Nature, Malaysian Mathematical Sciences Society, Penerbit Universiti Sains Malaysia
• ISSN: 0126-6705
• COBISS.SI-ID: 515781657