Single-point condensation and least-energy solutions
Publication in refereed journal

香港中文大學研究人員

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摘要We prove a conjecture raised in our earlier paper which says that the least-energy solutions to a two-dimensional semilinear problem exhibit single-point condensation phenomena as the nonlinear exponent gets large. Our method is based on a sharp form of a well-known borderline case of the Soboley embedding theory. With the help of this embedding, we can use the Moser iteration scheme to carefully estimate the upper bound of the solutions. We can also determine the location of the condensation points. © 1996 American Mathematical Society.
著者Ren X., Wei J.
期刊名稱Proceedings of the American Mathematical Society
出版年份1996
月份12
日期1
卷號124
期次1
出版社American Mathematical Society
出版地United States
頁次111 - 120
國際標準期刊號0002-9939
語言英式英語

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