Weak Bloch property and weight estimates for elliptic operators
Weak solutions for the -Laplacian with a nonlinear boundary condition at resonance.
Wegner estimates and Anderson localization for alloy-type potentials.
Weighted norm estimates and -spectral independence of linear operators
We investigate the -spectrum of linear operators defined consistently on for p₀ ≤ p ≤ p₁, where (Ω,μ) is an arbitrary σ-finite measure space and 1 ≤ p₀ < p₁ ≤ ∞. We prove p-independence of the -spectrum assuming weighted norm estimates. The assumptions are formulated in terms of a measurable semi-metric d on (Ω,μ); the balls with respect to this semi-metric are required to satisfy a subexponential volume growth condition. We show how previous results on -spectral independence can be treated...