Geodesic
Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations
Archivum mathematicum, Tome 50 (2014) no. 1, pp. 51-63.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this article we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations \begin{align*}{\Delta }(v(x)\, {\vert {\Delta }u\vert }^{p-2}{\Delta }u) -\sum _{j=1}^n D_j{\bigl [}{\omega }(x) {\mathcal{A}}_j(x, u, {\nabla }u){\bigr ]}\\ =\ f_0(x) - \sum _{j=1}^nD_jf_j(x)\,, \quad \mbox {in}\quad {\Omega }\end{align*} in the setting of the weighted Sobolev spaces.
DOI : 10.5817/AM2014-1-51
Classification : 35J60, 35J70
Keywords: degenerate nolinear elliptic equations; weighted Sobolev spaces 
@article{10_5817_AM2014_1_51,
     author = {Cavalheiro, Albo Carlos},
     title = {Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations},
     journal = {Archivum mathematicum},
     pages = {51--63},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2014},
     doi = {10.5817/AM2014-1-51},
     mrnumber = {3194768},
     zbl = {06391565},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2014-1-51/}
}
TY  - JOUR
AU  - Cavalheiro, Albo Carlos
TI  - Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations
JO  - Archivum mathematicum
PY  - 2014
SP  - 51
EP  - 63
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2014-1-51/
DO  - 10.5817/AM2014-1-51
LA  - en
ID  - 10_5817_AM2014_1_51
ER  - 
%0 Journal Article
%A Cavalheiro, Albo Carlos
%T Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations
%J Archivum mathematicum
%D 2014
%P 51-63
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2014-1-51/
%R 10.5817/AM2014-1-51
%G en
%F 10_5817_AM2014_1_51
Cavalheiro, Albo Carlos. Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations. Archivum mathematicum, Tome 50 (2014) no. 1, pp. 51-63. doi : 10.5817/AM2014-1-51. http://geodesic.mathdoc.fr/articles/10.5817/AM2014-1-51/

Cité par Sources :