We are concerned with the solvability of boundary value problems and related general properties of solutions of semilinear equations and of quasilinear elliptic equations with a variety of domains. In Chapter 2, we concentrate on the study of existence and uniqueness of positive radially symmetric solutions of the equation (*) with a variety of Dirichlet and Neumann boundary conditions in annular domains. Using Leray-Schauder degree theory, we establish some new existence results. In Chapter 3, we shall give a new description of the generalized degree theory. In Chapter 4, we prove that there is a strong maximum principle for A+theta when 1 0. In Chapter 5, the existence and uniqueness of positive radial solutions of the problem (***) on O...
We establish the uniqueness of positive radial solutions of -Δ u = uρ - u in B(R1, R2), u = 0 on ∂ B...
In this paper we deal with positive radially symmetric solutions for a boundary value problem contai...
AbstractWe study the existence of positive radial solutions of Δu+g(|x|) ƒ(u) = 0 in annuli with Dir...
We are concerned with the solvability of boundary value problems and related general properties of s...
In this paper, we study the following problem -Δ_p u = h(x)u^q + f(u), u∈W_0^{1,p}(Ω), u > 0 in Ω, w...
Abstract. The existence and multiplicity of positive radial solutions of equation Au +f(u) 0 is stud...
In this dissertation, we study the existence and nonexistence of positive radial solutions for class...
AbstractWe study quasilinear elliptic equations of Leray–Lions type in W1, p(Ω), maximum principles,...
AbstractWe study the existence of many nonradial positive solutions in an annulus of RN. It is an im...
Under simple conditions on f and g, we show that existence of positive radial solutions for the qu...
AbstractWe prove uniqueness of positive radial solutions to the semilinear elliptic equation Δu−u+up...
AbstractWe study the existence of positive radially symmetric solutions of Δu + g(¦x¦)f(u) = 0 in an...
AbstractWe study the positive radial solutions of a semilinear elliptic equationΔu+f(u)=0, wheref(u)...
AbstractWe establish the existence of positive solutions to a class of quasilinear anisotropic probl...
This dissertation focuses on the study of positive steady states to classes of nonlinear reaction di...
We establish the uniqueness of positive radial solutions of -Δ u = uρ - u in B(R1, R2), u = 0 on ∂ B...
In this paper we deal with positive radially symmetric solutions for a boundary value problem contai...
AbstractWe study the existence of positive radial solutions of Δu+g(|x|) ƒ(u) = 0 in annuli with Dir...
We are concerned with the solvability of boundary value problems and related general properties of s...
In this paper, we study the following problem -Δ_p u = h(x)u^q + f(u), u∈W_0^{1,p}(Ω), u > 0 in Ω, w...
Abstract. The existence and multiplicity of positive radial solutions of equation Au +f(u) 0 is stud...
In this dissertation, we study the existence and nonexistence of positive radial solutions for class...
AbstractWe study quasilinear elliptic equations of Leray–Lions type in W1, p(Ω), maximum principles,...
AbstractWe study the existence of many nonradial positive solutions in an annulus of RN. It is an im...
Under simple conditions on f and g, we show that existence of positive radial solutions for the qu...
AbstractWe prove uniqueness of positive radial solutions to the semilinear elliptic equation Δu−u+up...
AbstractWe study the existence of positive radially symmetric solutions of Δu + g(¦x¦)f(u) = 0 in an...
AbstractWe study the positive radial solutions of a semilinear elliptic equationΔu+f(u)=0, wheref(u)...
AbstractWe establish the existence of positive solutions to a class of quasilinear anisotropic probl...
This dissertation focuses on the study of positive steady states to classes of nonlinear reaction di...
We establish the uniqueness of positive radial solutions of -Δ u = uρ - u in B(R1, R2), u = 0 on ∂ B...
In this paper we deal with positive radially symmetric solutions for a boundary value problem contai...
AbstractWe study the existence of positive radial solutions of Δu+g(|x|) ƒ(u) = 0 in annuli with Dir...