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J-GLOBAL ID：200902264944404316   Reference number：06A0742551

Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on R^N

R^N上の臨界Orlicz-Sobolev非線形性を持つ準線形の楕円方程式の正値解

Author (3)： FUKAGAI Nobuyoshi (Tokushima Univ.) ,  ITO Masayuki (Tokushima Univ.) ,  NARUKAWA Kimiaki (Naruto Univ. Education, JPN)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 49  Issue： 2  Page： 235-267  Publication year： Aug. 2006 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： nonlinearity ,...

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JST classification (1)： Mathematical physics  (BA03000W)

Reference (21)：

• [1] Adams, A. and Fournier, J. F., Sobolev Spaces, 2nd ed., Academic Press, 2003.
• [2] Ambrosetti, A., Garcia Azorero, J. and Peral, I., Perturbation of Δu + u^(N+2)/(N-2) = 0, the scalar curvature problem in R^N, and related topics, J. Funct. Anal. 165 (1999), 117-149.
• [3] Ambrosetti, A., Garcia Azorero, J. and Peral, I., Elliptic variational problems in R^N with critical growth, Special issue in celebration of Jack K. Hale's 70th birthday, Part 1 (Atlanta, GA/Lisbon, 1998), J. Differential Equations 168 (2000), 10-32.
• [4] Aubin, J.-P. and Ekeland, I., <i>Applied nonlinear analysis</i>, Pure and Applied Mathematics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1984.
• [5] Badiale, M. and Citti, G., Concentration compactness principle and quasilinear elliptic equations in R^N, Comm. Partial Differential Equations 16 (1991), 1795-1818.

Terms in the title (7)： Rn ,  臨界 ,  非線形性 ,  線形 ,  楕円 ,  方程式 ,  解