An eigenvalue problem involving a degenerate and singular elliptic operator

Mihai Mihăilescu, Dusan D. Repovs · Project Euclid (Cornell University) · 2011

We study an eigenvalue problem involving a degenerate and singular elliptic operator on the whole space $\\mathbb R^N$. We prove the existence of an unbounded and increasing sequence of eigenvalues. Our study generalizes to the case of degenerate and singular operators a result of A. Szulkin and M. Willem.

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