Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
نویسندگان
چکیده
منابع مشابه
Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
Let Ω ⊂ RN be a smooth bounded domain such that 0 ∈ Ω , N ≥ 5, 0 ≤ s < 2, 2∗(s) = 2(N−s) N−2 . We prove the existence of nontrivial solutions for the singular critical problem − u − μ u |x |2 = |u| 2∗(s)−2 |x |s u + λu with Dirichlet boundary condition on Ω for all λ > 0 and 0 ≤ μ < ( N−2 2 )2 − ( N+2 N )2. © 2005 Elsevier Ltd. All rights reserved. MSC: 35J60; 35B33
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ژورنال
عنوان ژورنال: Journal of Function Spaces
سال: 2018
ISSN: 2314-8896,2314-8888
DOI: 10.1155/2018/2382717