On the existence and regularity of vector solutions for quasilinear systems with linear coupling

19 Jan 2018  ·  Ao Yong, Wang Jiaqi, Zou Wenming ·

We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of vector solutions for the p-Laplacian systems by using variational methods... In particular, we get two pairs of nontrivial solutions. We also study their different asymptotic behavior of solutions as the coupling parameter tends to zero. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Analysis of PDEs