Existence of regular solutions for nonlinear Signorini's problems

Existence of multiple solutions for Sturm-Liouville boundary value problems

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

Existence of Positive Solutions for Nonlinear Eigenvalue Problems

Existence of Three Positive Solutions to Nonlinear Boundary Value Problems

Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems

In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.

Existence Problems for Homoclinic Solutions

when a→−∞ and b→ +∞. The boundary value problems on compact intervals have been studied in numerous papers but the boundary value problems on noncompact intervals have been less studied. A first substantial approach of these problems, using functional methods are due to Kartsatos [8]. Last time, this type of results has been published in [2, 3, 4, 5, 6]. For problem (1.3), Mawhin obtained many ...