Giovanni Molica Bisci (Avtor), Dušan Repovš (Avtor)

Povzetek

The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ▫$\mathbb{R}^d \, (d \ge 3)$▫. These hemivariational inequalities have a variational structure and, thanks to this, we are able to find a non-trivial weak solution for them by using variational methods and a non-smooth version of the Palais principle of symmetric criticality for locally Lipschitz continuous functionals, due to Krawcewicz and Marzantowicz. The main tools in our approach are based on appropriate theoretical arguments on suitable subgroups of the orthogonal group ▫$O(d)$▫ and their actions on the Sobolev space ▫$H^1(\mathbb{R}^d)$▫. Moreover, under an additional hypotheses on the dimension d and in the presence of symmetry on the nonlinear datum, the existence of multiple pairs of sign-changing solutions with different symmetries structure has been proved. In connection to classical Schrödinger equations a concrete and meaningful example of an application is presented.

Ključne besede

hemivariational inequalities;variational methods;principle of symmetric criticality;radial solutions;non-radial solutions;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.956
COBISS: 18703961 Povezava se bo odprla v novem oknu
ISSN: 2191-9496
Št. ogledov: 481
Št. prenosov: 270
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Strani: str. 958-977
Letnik: ǂVol. ǂ9
Zvezek: ǂiss. ǂ1
Čas izdaje: 2020
DOI: 10.1515/anona-2020-0035
ID: 11204077