Weighted Sobolev Spaces and Degenerate Elliptic Equations - doi: 10.5269/bspm.v26i1-2.7415

Albo Carlos Cavalheiro

Abstract


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.


Keywords


Degenerate elliptic equations, weighted Sobolev spaces

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ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)