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Author Tang, Zhongwei
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Changfeng Gui ♦ Potential Well ♦ Ciritical Growth ♦ Zero Set ♦ Energy Solution ♦ Critical Sobolev Exponent ♦ Following Semilinear Schr Dinger Equation
Abstract (Communicated by Changfeng Gui) Abstract. In this paper, we consider the following semilinear Schrödinger equations with ciritical growth −∆u + (λa(x) − δ)u = u 2 ∗ −2 u, x ∈ R N where N ≥ 4, a(x) ≥ 0 and its zero sets are not empty. 2 ∗ is the critical Sobolev exponent. δ> 0 is a constant such that the operator − ∆ + λa(x) − δ might be indefinite but is non-degenerate. We prove the existence of least energy solutions which localize near the potential well int { a−1 (0) } for λ large enough.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article