In this paper, we survey a number of recent results obtained in the study of weighted Sobolev spaces (with power-type weights, A_p-weights, padmissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.
@article{7415, title = {Weighted Sobolev Spaces and Degenerate Elliptic Equations - doi: 10.5269/bspm.v26i1-2.7415}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v26i1-2.7415}, language = {EN}, url = {http://dml.mathdoc.fr/item/7415} }
Cavalheiro, Albo Carlos. Weighted Sobolev Spaces and Degenerate Elliptic Equations - doi: 10.5269/bspm.v26i1-2.7415. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v26i1-2.7415. http://gdmltest.u-ga.fr/item/7415/