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Now showing items 1-10 of 22

#### A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

(2004)

We present new Furi-Pera theorems for acyclic maps between topological spaces.

#### Multiple positive solutions of singular discrete p-Laplacian problems via variational methods

(2005)

We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.

#### An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities

(2009-10-26)

This paper studies the eigenvalue interval for the singular boundary value problem u″ = g (t, u) + λ h (t, u), t ∈(0, 1),u (0) = 0 = u (1), where g + h may be singular at u = 0, t = 0, 1, and may change sign and be superlinear ...

#### Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques

(2009-01-23)

We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point ...

#### Constant-sign solutions of a system of integral equations with integrable singularities

(2007-06-22)

We consider the following systems of Fredholm integral equations and the system of Volterra integral equations where the nonlinearities fi, 1 ≤ i ≤ n may be singular in the independent variable and may also be singular at ...

#### Solutions of a system of integral equations in Orlicz spaces

(2009-12-31)

We consider the following system of integral equations Ui(t) = ∫1gi(t,s)fi(s,u1(s),u2(s),...,un(s))ds, a.e. t [0,1], 1 ≤ i ≤ n. Our aim is to establish criteria such that the above system has a solution (u±,U2,... ,un) ...

#### Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach

(2005)

New Leray-Schauder alternatives are presented for Mönch-type maps defined between Fréchet spaces. The proof relies on viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

#### On the existence of multiple periodic solutions for the vector p-laplacian via critical point theory

(2005-12)

We study the vector p-Laplacian
(∗){−(|u′|p−2u′)′=∇F(t,u)a.e.t∈[0,T],u(0)=u(T),u′(0)=u′(T),1<p<∞.
(∗){u(0)=u(T),u′(0)=u′(T),1<p<∞.−(|u′|p−2u′)′=∇F(t,u)a.e.t∈[0,T],
We prove that there exists a sequence (un) of solutions ...

#### Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach

(2007-04)

This paper studies the existence of solutions to the singular boundary value problem
{−u′′=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1),
{−u″=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1),
, where g: (0, 1) × (0, ∞) → ℝ and h: (0, 1) × [0, ∞) ...

#### Birkhoff-Kellogg theorems on invariant directions for multimaps

(2001-12-11)

We establish Birkhoff-Kellogg type theorems on invariant directions for a general class of maps. Our results, in particular, apply to Kakutani, acyclic, O'Neill, approximable, admissible, and script U signCK maps.