偏微分方程式セミナー(2016/5/13): Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension, 内免 大輔 氏 (室蘭工業大学)

開催日時
2016年   5月 13日 16時 30分 ~ 2016年   5月 13日 18時 00分
場所
北海道大学理学部3号館3-309室
講演者
内免 大輔 氏 (室蘭工業大学)
 
Recently, the stationary problem of the Kirtchhoff type wave equation is extensively investigated. In this talk, we discuss our recent studies on such a Kirchhoff type elliptic problem involving the critical Sobolev exponent. Because of the interaction between the critical nonlinearity and the Kirchhoff type nonlocal dependence, serious difficulties occur in proving the existence of solutions. Overcoming such difficulties, we get new multiplicity results. We mainly show our idea to deal with the problem in high dimension. Our method is based on the variational method and the concentration compactness analysis on Palais-Smale sequences.

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研究集会・セミナー・集中講義の一覧へ