Add to ORKGLet E be a real Hilbert space, λ∈R, F∈C~2(E×R, R). Suppose that the gradientD_xF(x,λ) of F is A(λ)x+N(x, λ), where N(x, λ) =o(│x│) as x→θ uniformly for bounded λ.In this note we consider the solutions of the following equation05358-36
For any N >= 1 and sufficiently small epsilon > 0, we find a positive solution of a nonlinear ...
We consider the restriction of twice differentiable functionals on a Hilbert space to families of su...
AbstractWe present a certain analog for variational inequalities of the classical result on bifurcat...
This paper provides supplementary information on the Krasnoselʹskiĭ bifurcation theorem for gradient...
International audienceWe consider the boundary value problem(Pλ)u∈H01(Ω)∩L∞(Ω):-δu=λc(x)u+μ(x)|∇u|2+...
We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gr...
AbstractLet H be a real Hilbert space, A : H → H a self-adjoint continuous linear operator. Given a ...
AbstractLet C be a Banach space, H a Hilbert space, and let F(C,H) be the space of C∞ functions f: C...
Variational Problem:. In fact we can consider more general variational problems. Consider a Hilbert ...
Let H be a real Hilbert space and denote by S its unit sphere. Consider the nonlinear eigenvalue pro...
AbstractIn this paper we discuss the abstract equation F(λ, x) = ƒ′(x) − λx = θ, F(λ, θ) = θ in a Hi...
Pomponio‡ Abstract: In this paper we obtain, for a semilinear elliptic problem in IRN, families of s...
In this paper we study a semilinear elliptic equation in all IRN. This equation depends on a paramet...
AbstractThe primary purpose of this work is to analyze the structure and persistence of critical poi...
α + β |u| α−2u|v|β, x ∈ Ω −div ((γ + |∇v|r−2)∇v) = µ|v|r−2v + 2β α + β |u| α|v|β−2v, x ∈ Ω u = v = ...
For any N >= 1 and sufficiently small epsilon > 0, we find a positive solution of a nonlinear ...
We consider the restriction of twice differentiable functionals on a Hilbert space to families of su...
AbstractWe present a certain analog for variational inequalities of the classical result on bifurcat...
This paper provides supplementary information on the Krasnoselʹskiĭ bifurcation theorem for gradient...
International audienceWe consider the boundary value problem(Pλ)u∈H01(Ω)∩L∞(Ω):-δu=λc(x)u+μ(x)|∇u|2+...
We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gr...
AbstractLet H be a real Hilbert space, A : H → H a self-adjoint continuous linear operator. Given a ...
AbstractLet C be a Banach space, H a Hilbert space, and let F(C,H) be the space of C∞ functions f: C...
Variational Problem:. In fact we can consider more general variational problems. Consider a Hilbert ...
Let H be a real Hilbert space and denote by S its unit sphere. Consider the nonlinear eigenvalue pro...
AbstractIn this paper we discuss the abstract equation F(λ, x) = ƒ′(x) − λx = θ, F(λ, θ) = θ in a Hi...
Pomponio‡ Abstract: In this paper we obtain, for a semilinear elliptic problem in IRN, families of s...
In this paper we study a semilinear elliptic equation in all IRN. This equation depends on a paramet...
AbstractThe primary purpose of this work is to analyze the structure and persistence of critical poi...
α + β |u| α−2u|v|β, x ∈ Ω −div ((γ + |∇v|r−2)∇v) = µ|v|r−2v + 2β α + β |u| α|v|β−2v, x ∈ Ω u = v = ...
For any N >= 1 and sufficiently small epsilon > 0, we find a positive solution of a nonlinear ...
We consider the restriction of twice differentiable functionals on a Hilbert space to families of su...
AbstractWe present a certain analog for variational inequalities of the classical result on bifurcat...