Higher regularity of weak solutions of strongly nonlinear elliptic equations
The weak Dirichlet and Neumann problem for the Laplacian in for bounded and exterior domains. Applications
Remarks on essential self-adjointness of Schrödinger operators with singular electrostatic potentials.
Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen.
Über schwache Lösungen des Dirichletproblems für streng nichtlineare elliptische Differentialgleichungen.
Essential Self-Adjointness of Schrödinger Operators Bounded from Below.
An Elementary Proof of Harnack's Inequality for Schrödinger Operators and Related Topics.
Über eine Koerzitivitätsgleichung in ... .
A second look on definition and equivalent norms of Sobolev spaces
Sobolev’s original definition of his spaces is revisited. It only assumed that is a domain. With elementary methods, essentially based on Poincare’s inequality for balls (or cubes), the existence of intermediate derivates of functions with respect to appropriate norms, and equivalence of these norms is proved.
On general solvability properties of -Lapalacian-like equations
We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation where is a very general domain in , including the case .
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