activity
20192023
most citedInverse Problems for Nonlinear Quasi-Variational Inequalities with an Application to Implicit Obstacle Problems of -Laplacian Type

60 citations · 132 across the 9 of their papers we have counts for

collaborators

9 papers

math.AP2023★ 1 cited

A class of elliptic mixed boundary value problems with -Laplacian: existence, comparison and optimal control

Shengda Zeng, Stanislaw Migorski, Domingo A. Tarzia +2

The paper deals with two nonlinear elliptic equations with -Laplacian and the Dirichlet-Neumann-Dirichlet (DND) boundary conditions, and Dirich\-let-Neu\-mann-Neumann (DNN)…

math.DS2023★ 7 cited

A class of elliptic quasi-variational-hemivariational inequalities with applications

S. Migorski, JC. Yao, SD. Zeng

In this paper we study a class of quasi--variational--hemi\-va\-ria\-tio\-nal inequalities in reflexive Banach spaces. The inequalities contain a convex potential, a locally Lipsch…

math.AP2023★ 25 cited

A new class of history-dependent quasi variational-hemivariational inequalities with constraints

S. Migorski, YR. Bai, SD. Zeng

In this paper we consider an abstract class of time-dependent quasi variational-hemivariational inequalities which involves history-dependent operators and a set of unilateral cons…

math.AP2022★ 7 cited

Existence results for variational-hemivariational inequality systems with nonlinear couplings

Yunru Bai, Nicusor Costea, Shengda Zeng

In this paper we investigate a system of coupled inequalities consisting of a variational-hemivariational inequality and a quasi-hemivariational inequality on Banach spaces. The ap…

math.AP2021

Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions

Shengda Zeng, Vicenţiu D. Rădulescu, Patrick Winkert

In this paper we consider a mixed boundary value problem with a nonhomogeneous, nonlinear differential operator (called double phase operator), a nonlinear convection term (a react…

math.AP2021

Double phase obstacle problems with multivalued convection and mixed boundary value conditions

Shengda Zeng, Vicenţiu D. Rădulescu, Patrick Winkert

In this paper, we consider a mixed boundary value problem with a double phase partial differential operator, an obstacle effect and a multivalued reaction convection term. Under ve…

math.FA2019★ 32 cited

A Class of Generalized Mixed Variational-Hemivariational Inequalities I: Existence and Uniqueness Results

Yunru Bai, Stanislaw Migorski, Shengda Zeng

We investigate a generalized Lagrange multiplier system in a Banach space, called a mixed variational-hemivariational inequality (MVHVI, for short), which contains a hemivariationa…

math.AP2019

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics

Stanislaw Migorski, Shengda Zeng

In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is…

math.AP2019★ 60 cited

Inverse Problems for Nonlinear Quasi-Variational Inequalities with an Application to Implicit Obstacle Problems of -Laplacian Type

Stanislaw Migorski, Akhtar A. Khan, Shengda Zeng

The primary objective of this research is to investigate an inverse problem of parameter identification in nonlinear mixed quasi-variational inequalities posed in a Banach space se…