TY  - JOUR
T1  - Existence results for Navier problems with degenerated (p,q)-Laplacian and (p,q)-Biharmonic operators
AU  - Cavalheiro, Albo Carlos
PY  - 2018
DA  - August
JF  - Results in Nonlinear Analysis
JO  - RNA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2636-7556
SP  - 74
EP  - 87
VL  - 1
IS  - 2
LA  - en
AB  - In this article, we prove the existence and uniqueness of solutions for the Navier problem(P)∆ω(x)(|∆u|p−2∆u + |∆u|q−2∆u)− divω(x)(|∇u|p−2∇u + |∇u|q−2∇u)= f(x) − div(G(x)), in Ω,u(x) = ∆u = 0, in ∂Ω,where Ω is a bounded open set of RN (N ≥ 2), fω∈Lp0(Ω, ω) and Gω∈ [Lq0(Ω, ω)]N .
KW  - Degenerate nonlinear elliptic equations
KW  - weighted Sobolev space
KW  - 2010 MSC: 35J60
KW  - 35J70
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UR  - https://dergipark.org.tr/en/pub/rna/issue//430698
L1  - https://dergipark.org.tr/en/download/article-file/521989
ER  -