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Standing waves for nonlinear Schrodinger equations involving critical growth

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We consider the following singularly perturbed nonlinear elliptic problem:
−ε2Δu + V (x)u = f(u), u∈ H1(RN),
where N ≥ 3 and f is the nonlinearity of critical growth. In this paper, we construct a solution
uε of the above problem, which concentrates at an isolated component of the positive local
minimum points of V as ε → 0 under certain conditions on f. Our result completes the study
made in some very recent works in the sense that, in those papers, only the subcritical growth
was considered.

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Informasi Detail

Judul Seri

J. London Math. Soc.

No. Panggil

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Penerbit

London : London Mathematical Society., 2014

Deskripsi Fisik

J. London Math. Soc. (2) 90 (2014) 827–844

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

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