Exponential decay of solutions to nonlinear elliptic equations with potentials

FUKUIZUMI, Reika; OZAWA, Tohru

Hokkaido University Preprint Series in Mathematics, 2004, 699, 1-12

Permalink : https://doi.org/10.14943/83850

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DOI	https://doi.org/10.14943/83850
URI	https://hdl.handle.net/2115/69504
タイトル	Exponential decay of solutions to nonlinear elliptic equations with potentials
著者	著者名 FUKUIZUMI, Reika
著者	著者名 OZAWA, Tohru
言語	英語
発行日	2004
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	699
ページ	1-12
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record