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Hokkaido University Preprint Series in Mathematics >
Exponential decay of solutions to nonlinear elliptic equations with potentials
| Title: | Exponential decay of solutions to nonlinear elliptic equations with potentials |
| Authors: | FUKUIZUMI, Reika Browse this author | | OZAWA, Tohru Browse this author |
| Issue Date: | 2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 699 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | Exponential decay estimates are obtained for complex-valued solutions to non- linear elliptic equations in Rn, where the linear term is given by Schr odinger operators H = -Δ + V with nonnegative potentials V and the nonlinear term is given by a single power with subcritical Sobolev exponent in the attractive case. We descrive speci c rates of decay in terms of V , some of which are shown to be optimal. Moreover, our estimates provide a uni ed understanding of two distinct cases in the available literature, namely, the vanishing potential case V = 0 and the harmonic potential case V (x) = |x|2. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69504 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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