On a coupled nonlocal Schrödinger-Kirchhoff system with singular exponential nonlinearity in RN

This paper is concerned with the existence of solutions for parameters dependent Schrödinger–Kirchhoff system driven by nonlocal integro-differential operators with singular Trudinger–Moser nonlinearity in the whole Euclidean space RN. These parameters have a major impact on the produced analysis. I...

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Elmentve itt :
Bibliográfiai részletek
Szerzők: Mahanta Deepak Kumar
Mukherjee Tuhina
Thin Nguyen Van
Dokumentumtípus: Folyóirat
Megjelent: 2025
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Schrödinger-Kirchhoff rendszer
Tárgyszavak:
doi:10.14232/ejqtde.2025.1.17

Online Access:http://acta.bibl.u-szeged.hu/88897
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245 1 3 |a On a coupled nonlocal Schrödinger-Kirchhoff system with singular exponential nonlinearity in RN  |h [elektronikus dokumentum] /  |c  Mahanta Deepak Kumar 
260 |c 2025 
300 |a 38 
490 0 |a Electronic journal of qualitative theory of differential equations 
520 3 |a This paper is concerned with the existence of solutions for parameters dependent Schrödinger–Kirchhoff system driven by nonlocal integro-differential operators with singular Trudinger–Moser nonlinearity in the whole Euclidean space RN. These parameters have a major impact on the produced analysis. It is noted that, we also study the asymptotic behaviour of solutions depending upon these parameters. The proofs of the existence results to the aforementioned system rely on the mountain pass theorem, the Ekeland variational principle, the classical deformation lemma, and the Krasnoselskii genus theory. The salient feature and novelty of this paper is that it also covers the so-called degenerate case of the Kirchhoff function, that is, it could vanish at zero. 
650 4 |a Természettudományok 
650 4 |a Matematika 
695 |a Schrödinger-Kirchhoff rendszer 
700 0 1 |a Mukherjee Tuhina  |e aut 
700 0 1 |a Thin Nguyen Van  |e aut 
856 4 0 |u http://acta.bibl.u-szeged.hu/88897/1/ejqtde_2025_017.pdf  |z Dokumentum-elérés