This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem.
This paper is concerned with the following non linear elliptic problem in- volving nearly critical exponent （Pεk）： （-△）ku = K（x）｜u｜（4k/（n-2k））-εu in Ω, △k-lu =… △u = u = 0 on δΩ, where Ω is a bo...This paper is concerned with the following non linear elliptic problem in- volving nearly critical exponent （Pεk）： （-△）ku = K（x）｜u｜（4k/（n-2k））-εu in Ω, △k-lu =… △u = u = 0 on δΩ, where Ω is a bounded smooth domain in Rn, n≥ 2k＋2, k≥ 1, ε is a small positive parameter and K is a smooth positive function in Ω. We construct sign- changing solutions of （pεk） having two bubbles and blowing up either at two different critical points of K with the same speed or at the same critical point.展开更多
文摘This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem.
文摘This paper is concerned with the following non linear elliptic problem in- volving nearly critical exponent （Pεk）： （-△）ku = K（x）｜u｜（4k/（n-2k））-εu in Ω, △k-lu =… △u = u = 0 on δΩ, where Ω is a bounded smooth domain in Rn, n≥ 2k＋2, k≥ 1, ε is a small positive parameter and K is a smooth positive function in Ω. We construct sign- changing solutions of （pεk） having two bubbles and blowing up either at two different critical points of K with the same speed or at the same critical point.
