#### Filter Results:

- Full text PDF available (21)

#### Publication Year

2004

2018

- This year (1)
- Last 5 years (15)
- Last 10 years (31)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Marek Galewski, Szymon G laÌ§b, Renata Wieteska
- 2012

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution of the anisotropic discrete Dirichlet boundary value problem. Our resultsâ€¦ (More)

- Marek Galewski
- Applied Mathematics and Computation
- 2008

We consider the existence of solutions and the continuous dependence on a parameter results for fourth-order Dirichlet problem connected with the elastic beam equation. We introduce a dualâ€¦ (More)

- Marek Galewski
- 2016

Our goal is to study the Pareto optimal control system for a nonlinear one-dimensional extensible beam equation and its Galerkin approximation. First we consider a mathematical model of the beamâ€¦ (More)

- Marek Galewski
- 2011

Recently the classical variational problem for a Duffing type equation received again some attention. In [1], [2], [7], some variational approaches were used in order to receive the existence ofâ€¦ (More)

- Marek Galewski, Joanna Smejda
- Applied Mathematics and Computation
- 2013

We investigate the continuous dependence on parameters for the mountain pass solutions of second order discrete equations with p-Laplacian and Dirichlet type boundary conditions. We show thatâ€¦ (More)

- Marek Galewski
- 2014

In this paper we study a class of one-dimensional Dirichlet boundary value problems involving the Caputo fractional derivatives. The existence of infinitely many solutions for this equations isâ€¦ (More)

In this work we provide a type of critical point theorem with applications to boundary value problems, both continuous and discrete ones. We base our work on the methodology connected with theâ€¦ (More)

In this paper we consider the Dirichlet problem for a discrete anisotropic equation with some function Î± , a nonlinear term f , and a numerical parameter Î» : âˆ† ( Î± (k) |âˆ†u(k âˆ’ 1)|p(kâˆ’1)âˆ’2âˆ†u(k âˆ’ 1) )â€¦ (More)

- Marek Galewski, Renata Wieteska
- Appl. Math. Lett.
- 2013

The aim of this note is to consider the multiplicity of solutions for nonlinear discrete boundary value problems in a case when the difference operator can correspond to a discrete p (x)-Laplacianâ€¦ (More)

- Marek Galewski
- 2015

Using the Fenchel-Young duality and mountain pass geometry we derive a new multiple critical point theorem. In a finite dimensional setting it becomes three critical point theorem while in anâ€¦ (More)