In this paper, we are concerned with the partial regularity for the weak solutions of energy minimizing p-harmonic maps under the controllable growth condition. We get the interior partial regularity by the p-harmonic...In this paper, we are concerned with the partial regularity for the weak solutions of energy minimizing p-harmonic maps under the controllable growth condition. We get the interior partial regularity by the p-harmonic approximation method together with the technique used to get the decay estimation on some Degenerate elliptic equations and the obstacle problem by Tan and Yan. In particular, we directly get the optimal regularity.展开更多
In this paper,we consider the initial value problem of a class of fractional differential equations.Firstly,we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation...In this paper,we consider the initial value problem of a class of fractional differential equations.Firstly,we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation.Then we discuss the dependence of the solutions on the initial value.展开更多
We are concerned with a time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. We obtain the global existence and uniqueness of s...We are concerned with a time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. We obtain the global existence and uniqueness of solutions to the TDGL equations near the BCS-BEC crossover.展开更多
基金This work was partially supported by the National Natural Science Foundation of China (Grant No. 10531020)the Program of 985 Innovation Engineering on Information in Xiamen University (2004-2007).
文摘In this paper, we are concerned with the partial regularity for the weak solutions of energy minimizing p-harmonic maps under the controllable growth condition. We get the interior partial regularity by the p-harmonic approximation method together with the technique used to get the decay estimation on some Degenerate elliptic equations and the obstacle problem by Tan and Yan. In particular, we directly get the optimal regularity.
基金by the National Natural Science Foundation of China(Nos.11571159,11531010)by the Natural Science Foundation of Fujian Province(Nos.2017J01562).
文摘In this paper,we consider the initial value problem of a class of fractional differential equations.Firstly,we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation.Then we discuss the dependence of the solutions on the initial value.
基金Supported by the National Natural Science Foundation of China(No.11201415)Program for New Century Excellent Talents in Fujian Province University(No.JA14191)
文摘We are concerned with a time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. We obtain the global existence and uniqueness of solutions to the TDGL equations near the BCS-BEC crossover.
