Uniqueness of weak solutions is established and necessary and sufficient conditions for existence are provided for singular anisotropic quasilinear elliptic problems with p-sublinear perturbations.
LIEBERMAN, Boundary regularity for solutions of degenerate elliptic equations.Nonlinear Anal.,12(11), (1988), 1203–1219
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Existence and uniqueness of weak solutions to singular anisotropic elliptic problems
Uniqueness of weak solutions is established and necessary and sufficient conditions for existence are provided for singular anisotropic quasilinear elliptic problems with p-sublinear perturbations.