Infinitely many weak solutions for p(x)-Laplacian-like problems with sign-changing potential

Zhou Qing-Mei; Wang Ke-Qi: Infinitely many weak solutions for p(x)-Laplacian-like problems with sign-changing potential. (2020)

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Absztrakt (kivonat)

This study is concerned with the p(x)-Laplacian-like problems and arising from capillarity phenomena of the following type −div ��1 + |∇u| p(x) 1+|∇u| 2p(x) |∇u| p(x)−2∇u = λ f(x, u), in Ω, u = 0, on ∂Ω, where Ω is a bounded domain in RN with smooth boundary ∂Ω, p ∈ C(Ω), and the primitive of the nonlinearity f of super-p + growth near infinity in u and is also allowed to be sign-changing. Based on a direct sum decomposition of a space W 1,p(x) 0 (Ω), we establish the existence of infinitely many solutions via variational methods for the above equation. Furthermore, our assumptions are suitable and different from those studied previously.

Mű típusa:	Folyóirat
Folyóirat/könyv/kiadvány címe:	Electronic journal of qualitative theory of differential equations
Dátum:	2020
Szám:	10
ISSN:	1417-3875
DOI:	10.14232/ejqtde.2020.1.10
Kulcsszavak:	Differenciálegyenlet
Megjegyzések:	Bibliogr.: p. 13-14. ; összefoglalás angol nyelven
Feltöltés dátuma:	2020. jún. 08. 09:07
Utolsó módosítás:	2021. okt. 20. 13:52
URI:	http://acta.bibl.u-szeged.hu/id/eprint/69514

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