On the Dirichlet Problem for a Class of Nonlinear Degenerate Elliptic Equations in Weighted Sobolev Spaces
In this paper we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations − div𝒜x,u,Δu ω1+ℬx,u,∇uν1+ℋx,u,∇uν2+up−2 u ω2−∑i,j=1nDjaijxDiux=f0x−∑j=1nDjfjx in Ω,ux=0 on ∂Ω,\begin{array}{*{20}{c}}{ - \;{\rm{div}}\left[ {\...
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| Main Author: | Cavalheiro Albo Carlos |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2024-11-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2024-0024 |
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