On the Existence of Ground State Solutions to Nonlinear Schrödinger Equations with Multisingular Inverse-square Anisotropic Potentials
نویسنده
چکیده
v > 0 in R \ {a1, . . . , ak}, where N ≥ 3, k ∈ N, hi ∈ C(S), (a1, a2, . . . , ak) ∈ R , ai 6= aj for i 6= j, and 2 = 2N N−2 is the critical Sobolev exponent. The interest in such a class of equations arises in nonrelativistic molecular physics. Inverse square potentials with anisotropic coupling terms turn out to describe the interaction between electric charges and dipole moments of molecules, see [16]. In crystalline matter, the presence of many dipoles leads to consider multisingular Schrödinger operators of the form
منابع مشابه
On Schrödinger Operators with Multisingular Inverse-square Anisotropic Potentials
We study positivity, localization of binding and essential self-adjointness properties of a class of Schrödinger operators with many anisotropic inverse square singularities, including the case of multiple dipole potentials.
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