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Now showing items 1-10 of 22

#### 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 ...

#### 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 ...

#### 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.

#### Fixed point theory for admissible type maps with applications

(2009-07-20)

We present new Leray-Schauder alternatives, Krasnoselskii and Lefschetz fixed point theory for multivalued maps between Fréchet spaces. As an application we show that our results are directly applicable to establish the ...

#### Positive solutions for singular three-point boundary-value problems

(2008)

Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y″(t) + ...

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

(2004)

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

#### Constant-sign solutions of a system of Volterra integral equations in Orlicz spaces

(2008-09-22)

We consider the following system of Volterra intergral equations uu1(t) = gi(t, s)fi(s, u1(s), u2(s), · · ·, un(s))ds, a.e. t ∈ [0,T], 1 ≤ i ≤ n. Criteria are offered for the existence of one and more constantsign solutions ...

#### Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces

(2008-12-21)

In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that ...

#### 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) ...

#### 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 ...