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Quasilinear elliptic equations and weighted Sobolev-Poincare inequalities with distributional weights
Quasilinear equations weighted integral inequalities elliptic regularity
2012/4/16
We introduce a class of weak solutions to the quasilinear equation $-\Delta_p u = \sigma |u|^{p-2}u$ in an open set $\Omega\subset\mathbf{R}^n$. Here $p>1$, and $\Delta_p u$ is the $p$-Laplacian opera...