Problems involving -Laplacian type equations and measures
Weighted Sobolev spaces and capacity.
A Radó type theorem for -harmonic functions in the plane.
A remark on the uniqueness of quasi continuous functions.
Growth of entire -subharmonic functions.
Smooth approximation in weighted Sobolev spaces
We give necessary and sufficient conditions for the equality in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.
Problems involving -Laplacian type equations and measures
In this paper I discuss two questions on -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to with zero boundary values; here is a Radon measure. The joining link between the problems is the use of equations involving measures.
Generalized dirichlet problem in nonlinear potential theory.
Polar sets for supersolutions of degenerate elliptic equations.
Degenerate elliptic equations with measure data and nonlinear potentials
On the uniqueness problem for quasilinear elliptic equations involving measures.
We discuss the uniqueness of solutions to problems like ⎧ λ |u|s-1u - div (|∇u|p-2∇u) = μ on Ω, ⎨ ⎩ u = 0 in ∂Ω, where λ ≥ 0 and μ is a signed Radon measure.
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