Local Uniqueness and Periodicity Induced by Concentration

来源 :非线性偏微分方程和数学物理研讨会(NPDEMP 2016) | 被引量 : 0次 | 上传用户:www4006804680com
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  We will talk about the following poly-harmonic equations with critical exponents:(-△)mu = K(y)uN+2m/N-2m , u>0 in RN,where N>2m+2,m∈N+,K(y)is positive and periodic in its first k variables(y1,…,yk),1≤k< N-2m/2.Under some conditions on K(y)near its critical point,we prove the existence and local uniqueness of solutions with infinitely many bubbles.
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