A5017869333- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Differential Equations and Boundary Problems
- Geometric Analysis and Curvature Flows
- Numerical methods in inverse problems
- Electrical Contact Performance and Analysis
- Nonlinear Differential Equations Analysis
- Mechanical stress and fatigue analysis
- Adhesion, Friction, and Surface Interactions
Guilin University of Electronic Technology
2021-2025
Wuhan University
2018-2020
University of Electronic Science and Technology of China
2016
The paper deals with a parametrized $ p $-Kirchhoff type problem involving criticalnonlinearity on closed Riemannian manifold (M,{{{g}}}) of dimension n\geq 3 $. Existence and multiplicity solutions are obtained under suitable conditions by variation methods. Our results extend enrich the previous work E. Hebey [Comm. Partial Differential Equations, 41 (2016), 913-924] from specific case = 2 to general 1<p<n
<p>This paper dealt with a class of Kirchhoff type equations involving singular nonlinearity in closed Riemannian manifold $ (M, g) dimension n\ge3 $. Existence and uniqueness positive weak solution were obtained under certain assumptions the help variation methods some analysis techniques.</p>
This paper is to establish the existence, uniqueness, and compactness of positive solutions for p-Kirchhoff type problems on a closed Riemannian manifold (M, g) dimension n ≥ 3. Both subcritical critical cases are considered under certain conditions by variational methods. Our results generalize several previous works from special case p = 2 general 1 &lt; n.
In this paper, we consider the following quasilinear equation: Δp,gu+a(x)|u|p−2u=K(x)|u|p∗(s)−2udg(x,x0)s+h(x)|u|r−2u,x∈M, where M is a compact Riemannian manifold with dimension n⩾3 without boundary, and x0∈M. Here a(x), K(x) h(x) are continuous functions on satisfying some further conditions. The operator Δp,g p-Laplace–Beltrami associated metric g, dg distance (M,g). Moreover, assume p∈(1,n), s∈[0,p), r∈(p,p∗) p∗=npn−p. notion p∗(s)=(n−s)pn−p critical Hardy–Sobolev exponent. With help of...
In this paper, we consider the double phase problem on compact Riemannian manifolds without boundary with dimension N ≥ 3 and 1 < p q N. We investigate properties of operator M obtain existence multiplicity results under different assumptions f(x, u) help variational approach.
In this paper, we deal with a singular quasilinear critical elliptic equation of Lichnerowicz type involving the p-Laplacian operator. With help subcritical approach from variational method, obtain non-existence, existence, and multiplicity results under some given assumptions.