Uţă Vasile-Florin: On the existence and multiplicity of eigenvalues for a class of double-phase non-autonomous problems with variable exponent growth. (2020)
Előnézet |
Teljes mű
ejqtde_2020_028.pdf Letöltés (491kB) | Előnézet |
Absztrakt (kivonat)
We study the following class of double-phase nonlinear eigenvalue problems − div [φ(x, |∇u|)∇u + ψ(x, |∇u|)∇u] = λ f(x, u) in Ω, u = 0 on ∂Ω, where Ω is a bounded domain from RN with smooth boundary and the potential functions φ and ψ have (p1(x); p2(x)) variable growth. The main results of this paper are to prove the existence of a continuous spectrum consisting in a bounded interval in the near proximity of the origin, the fact that the multiplicity of every eigenvalue located in this interval is at least two and to establish the existence of infinitely many solutions for our problem. The proofs rely on variational arguments based on the Ekeland’s variational principle, the mountain pass theorem, the fountain theorem and energy estimates.
| Mű típusa: | Folyóirat |
|---|---|
| Folyóirat/könyv/kiadvány címe: | Electronic journal of qualitative theory of differential equations |
| Dátum: | 2020 |
| Szám: | 28 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.28 |
| Kulcsszavak: | Differenciálegyenlet |
| Megjegyzések: | Bibliogr.: p. 20-22. ; 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/69532 |
 |
Tétel nézet |
