The paper builds on work of Du, Gao, and Yau. main result provides a characterization smooth solutions, up to normalization, the complex Plateau problem for strongly pseudoconvex Calabi–Yau CR manifolds dimension $2n - 1 \geq 5$ in hypersurface case when $n = 2$. latter was completely solved by Yau 3$ but only partially Du As an application, we determine existence link-theoretic invariant norma...

In this paper we study the Gauss image problem, which is a generalization of Aleksandrov problem in convex geometry. By considering geometric flow involving curvature and functions normal vectors radial vectors, obtain existence smooth solutions to problem.

in this paper, we study the nehari manifold and its application on the following navier boundary valueproblem involving the p-biharmonic          0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where  is a bounded domain in rn with smooth boundary  . we prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter  belongs to a certain subset o...

in this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. these problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive banach space. to make the nonlinear methods work, some careful analysis of t...