On the Persistence of the Multiplicity of Eigenvalues for Some Variational Elliptic Operator Depending on the Domain
β Scribed by D. Lupo; A.M. Micheletti
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 368 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
This paper concerns the three-dimensional Pauli operator P=(\_ } (p&A(x))) 2 +V(x) with a nonhomogeneous magnetic field B=curl A. The following Lieb Thirring type inequality for the moment of negative eigenvalues is established as where p>3Γ2 and b p (x) is the L p average of |B| over certain cube
Consider the STURM -LIOUVIUE differential expression &U Pβ¬C', qEC, p ( z ) =-0, q(z) &Po=--0 0 1 2-β¬[0, -1 I Ay=aS1p, y~ED(A)=C,(O, =) . -( p ( ~) 21')' + ~( 2 ) U , 0 sz -= m , with and define the (minimal) operator A , A considered a8 an operator in the HILBERT space H = L?( 0, a) is bounded from