TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS |
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| Authors: | Huaug Feirain |
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| Affiliation: | Institute of Applied Mathematics, AMSS, Academia Sinica, Beijing 100080, China |
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| Abstract: | In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded domain. |
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| Keywords: | Hermite elliptic equation modified Sobolev space eigenvalue problem |
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