Let N ≥ 5 and D2,2(ℝN) denote the closure of C0∞ (ℝN) in the norm (Formula presented). Let K ∈ C2(ℝN). We consider the following problem for e{open} ≥ 0: (Formula presented). We show an exact multiplicity result for (Pe{open}) for all small e{open} &gt; 0. © 2014 Springer Basel.

Abhishek Sarkar

Department of Mathematics

IIT Jodhpur

S. Prashanth

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Journal	Archiv der Mathematik
Publisher	Birkhauser Verlag AG
ISSN	0003889X