Infinitely many weak solutions for p(x)-Laplacian-like problems with sign-changing potential
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 no...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.10 |
| Online Access: | http://acta.bibl.u-szeged.hu/69514 |
| LEADER | 01435nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta69514 | ||
| 005 | 20211020135209.0 | ||
| 008 | 200608s2020 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.10 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Zhou Qing-Mei | |
| 245 | 1 | 0 | |a Infinitely many weak solutions for p(x)-Laplacian-like problems with sign-changing potential |h [elektronikus dokumentum] / |c Zhou Qing-Mei |
| 260 | |c 2020 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Wang Ke-Qi |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/69514/1/ejqtde_2020_010.pdf |z Dokumentum-elérés |