In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations governed by the h-Hessian operator. The bifurcation phenomena considered provide new methods for establishing existence results concerning fully nonlinear elliptic equations. Applications to the theory of critical exponents and the geometry of k-convex functions are considered. In addition, a related problem of Liouville–Gelfand type is analyzed
AbstractGeneral second order quasilinear elliptic systems with nonlinear boundary conditions on boun...
In this article, we are concerned with a class of nonlinear partial differential elliptic equations...
AbstractWe study Hessian fully nonlinear uniformly elliptic equations and show that the second deriv...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessi...
AbstractWe prove some global bifurcation theorems of Rabinowitz type for a large class of operators....
In this paper we establish existence and multiplicity results for a class of fully nonlinear ellipti...
AbstractWe are concerned with the following nonlinear problem−div(w(x)|∇u|p(x)−2∇u)=μg(x)|u|p(x)−2u+...
In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a wel...
accepted for publication in SCIENCE CHINA MathematicsIn this work, we study the existence of local s...
In this paper, we shall study global bifurcation phenomenon for the following Kirchhoff type problem...
We establish extence and bifurcation of positive global solutions for parametrized nonhomogeneous el...
AbstractThe Jacobian elliptic functions are generalized and applied to bifurcation problems associat...
We are concerned with the following nonlinear problem -div(w(x)vertical bar del u vertical bar(p(...
AbstractWe prove the existence of a global solution branch of nontrivial solutions for a class of eq...
AbstractGeneral second order quasilinear elliptic systems with nonlinear boundary conditions on boun...
In this article, we are concerned with a class of nonlinear partial differential elliptic equations...
AbstractWe study Hessian fully nonlinear uniformly elliptic equations and show that the second deriv...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessi...
AbstractWe prove some global bifurcation theorems of Rabinowitz type for a large class of operators....
In this paper we establish existence and multiplicity results for a class of fully nonlinear ellipti...
AbstractWe are concerned with the following nonlinear problem−div(w(x)|∇u|p(x)−2∇u)=μg(x)|u|p(x)−2u+...
In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a wel...
accepted for publication in SCIENCE CHINA MathematicsIn this work, we study the existence of local s...
In this paper, we shall study global bifurcation phenomenon for the following Kirchhoff type problem...
We establish extence and bifurcation of positive global solutions for parametrized nonhomogeneous el...
AbstractThe Jacobian elliptic functions are generalized and applied to bifurcation problems associat...
We are concerned with the following nonlinear problem -div(w(x)vertical bar del u vertical bar(p(...
AbstractWe prove the existence of a global solution branch of nontrivial solutions for a class of eq...
AbstractGeneral second order quasilinear elliptic systems with nonlinear boundary conditions on boun...
In this article, we are concerned with a class of nonlinear partial differential elliptic equations...
AbstractWe study Hessian fully nonlinear uniformly elliptic equations and show that the second deriv...