Existence of solutions for perturbed fourth order elliptic equations with variable exponents
Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form 2 p(x) u − M �R 1 p(x) |∇u| p(x) dx� ∆p(x)u = f(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ RN, N ≥ 3, is a smooth bounded domain, ∆ 2 p(x) u = ∆(|∆u| p(x)−2∆u) is t...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - elliptikus, Kirchhoff típusú problémák |
| doi: | 10.14232/ejqtde.2018.1.96 |
| Online Access: | http://acta.bibl.u-szeged.hu/56908 |
| LEADER | 01413nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta56908 | ||
| 005 | 20200729122904.0 | ||
| 008 | 190125s2018 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2018.1.96 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 2 | |a Thanh Chung Nguyen | |
| 245 | 1 | 0 | |a Existence of solutions for perturbed fourth order elliptic equations with variable exponents |h [elektronikus dokumentum] / |c Thanh Chung Nguyen |
| 260 | |c 2018 | ||
| 300 | |a 1-19 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form 2 p(x) u − M �R 1 p(x) |∇u| p(x) dx� ∆p(x)u = f(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ RN, N ≥ 3, is a smooth bounded domain, ∆ 2 p(x) u = ∆(|∆u| p(x)−2∆u) is the operator of fourth order called the p(x)-biharmonic operator, ∆p(x)u = div |∇u| p(x)−2∇u is the p(x)-Laplacian, p : Ω → R is a log-Hölder continuous function, M : [0, +∞) → R and f : Ω × R → R are two continuous functions satisfying some certain condition. | |
| 695 | |a Differenciálegyenlet - elliptikus, Kirchhoff típusú problémák | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/56908/1/ejqtde_2018_096.pdf |z Dokumentum-elérés |