A Semilinear Elliptic Equation with Dirac Measure as Right-Hand Side | Zendy

R. Spielmann | Zendy

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A Semilinear Elliptic Equation with Dirac Measure as Right-Hand Side

Author(s) -

R. Spielmann

Publication year - 1997

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/797

Subject(s) - measure (data warehouse) , elliptic curve , dirac measure , dirac (video compression format) , dirac equation , mathematics , mathematical analysis , mathematical physics , physics , dirac algebra , computer science , particle physics , dirac spinor , data mining , neutrino

We investigate solutions to the problem itz=.Ae +mi5 iriV'(Q) U = g a.e. on where b is the Dirac measure and A,m are real parameters, m > 0. We discuss the existence and uniqueness of solutions in dependence of these parameters. For the homogeneous Dirichlet problem in a ball we give multiplicity results.

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