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Search: authors:"Michinori Ishiwata"

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Hardy type inequalities in L p with sharp remainders

Sharp remainder terms are explicitly given on the standard Hardy inequalities in L p ( R n ) with 1 < p < n . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals. MSC: 26D10, 26D15, 46E35.

Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent

Michinori Ishiwata In this paper, we are concerned with the effect of the domain topology on the multiplicity of solutions for some semilinear elliptic systems involving critical Sobolev exponent