Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces
Cavalheiro, Albo Carlos
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 141-153 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations $$-\,{\rm div}\, [v(x)\,{\cal A}(x, u, {\nabla}u)] + {\omega}(x){\cal A}_0(x,u(x))= f_0 - \sum_{j=1}^nD_jf_j, \ \ {\rm on } \ \ {\Omega}$$ in the setting of the weighted Sobolev spaces ${\rm W}_0^{1,p}(\Omega,\omega,v)$.
Publié le : 2010-02-15
Classification:  degenerate quasilinear elliptic equations,  weighted Sobolev spaces,  37J70,  35J60 
@article{1267798504,
     author = {Cavalheiro, Albo Carlos},
     title = {Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 141-153},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1267798504}
}

Cavalheiro, Albo Carlos. Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  141-153. http://gdmltest.u-ga.fr/item/1267798504/