Research output: Contribution to journal › Article › peer-review
An equation of the form - div(gΔu) = λu has a solution u of class C0∞, where g is a real positive definite matrix-valued function belonging to the Holder classes with exponent less than 1. From the spectral point of view, this means that there exists a Schrödinger operator with periodic metric and the spectrum of this operator contains an eigenvalue of infinite multiplicity.
Original language | English |
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Pages (from-to) | 3078-3086 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 106 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2001 |
ID: 50940137