Nonlinear elliptic equations on Carnot groups

Ferrara, Massimiliano (avtor), Molica Bisci, Giovanni (avtor), Repovš, Dušan (avtor)

This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bounded domain ▫$D$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R}$▫. The main approach is based on variational methods.

• Jezik: Angleški jezik
• Ključne besede: subelliptic equation, Carnot group, weak solution, critical point result, Heisenberg group, Folland-Stein space
• 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: Str. 707-718
• Številčenje: Vol. 111, iss. 3
• PID: 20.500.12556/RUL-109545
• UDK: 517.956
• ISSN pri članku: 1578-7303
• DOI: 10.1007/s13398-016-0321-3
• COBISS.SI-ID: 17738841
• Datum objave v RUL: 05.09.2019

Gradivo je del revije

• Naslov: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
• Skrajšan naslov: Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.
• Založnik: Springer Nature, Real Academia de Ciencias Exactas, Físicas y Naturales
• ISSN: 1578-7303
• COBISS.SI-ID: 17645351