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Perturbation by differences of unbounded potentials. (English) Zbl 0685.31005
Perturbation by unbounded potentials and corresponding eigenvalues are studied in the general framework of harmonic spaces. The results are applied to the Schrödinger equation $$(\Delta -\mu)u=0$$ on domains U in $${\mathbb{R}}^ n$$, where $$\mu$$ is a signed measure on $${\mathbb{R}}^ n$$ such that $$\mu$$ does not charge polar sets and $$\mu^-$$ generates a finite potential.
Reviewer: W.Hansen

##### MSC:
 31C25 Dirichlet forms 35J10 Schrödinger operator, Schrödinger equation
##### Keywords:
Perturbation; unbounded potentials; harmonic spaces
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##### References:
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