22 citations · 26 across the 7 of their papers we have counts for
7 papers
Attainability and criticality for multipolar Rellich inequality
Yongyang Jin, Shoufeng Shen, Li Tang
In this paper we obtain optimal multipolar Rellich inequality for biharmonic Schrodinger operator with positive multi-singular potentials. Moreover, we prove the attainability of t…
Some Wadati-Konno-Ichikawa type integrable systems and their constructions
Shou-Feng Shen, Guo-Fang Wang, Yong-Yang Jin +1
A standard-form Wadati-Konno-Ichikawa(WKI) type integrable hierarchy is derived from a corresponding matrix spectral problem associated with the Lie algebra sl(2, R). Each equation…
Meshy soliton structures for (2+1)-dimensional integrable systems and interactions
Shoufeng Shen, Guofang Wang, Yongyang Jin
In this letter, we construct new meshy soliton structures by using two concrete (2+1)-dimensional integrable systems. The explicit expressions based on corresponding Cole-Hopf type…
Optimal Hardy inequalities associated with multipolar Schrödinger operators
Yongyang Jin, Li Tang, Can Ye +1
We proved some optimal Hardy inequalities in RNwhich is closely related to multipolar Schrödinger operators with mean-value type potentials, these sharp inequalities imply some mul…
Sharp Hardy-Rellich Type Inequalities Associated with Dunkl Operators
Li Tang, Haiting Chen, Shoufeng Shen +1
In this paper, we obtained the Dunkl analogy of classical Lp Hardy inequality for with sharp constant , where is the degree of…
Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling
Shoufeng Shen, Chunxia Li, Yongyang Jin +1
Integrable couplings are associated with non-semisimple Lie algebras. In this paper, we propose a new method to generate new integrable systems through making perturbation in matri…
Degenerate p-Laplacian operators on H-type groups and applications to Hardy type inequalities
Yongyang Jin, Genkai Zhang
Let be a step-two nilpotent group of H-type with Lie algebra . We define a class of vector fields on depending…