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Your search keyword '"Galewski, Marek A."' showing total 8 results
Start Over Author "Galewski, Marek A." Journal mathematical methods in the applied sciences
8 results on '"Galewski, Marek A."'

3. Nash‐type equilibria for systems of partially potential nonlinear equations.

Author

Bełdziński, Michał, Galewski, Marek, and Barilla, David

Subjects
*NONLINEAR equations, *DIRICHLET problem, *EQUILIBRIUM, *NONLINEAR systems
Abstract

In this paper, we study the existence of a Nash‐type equilibrium for a non‐potential nonlinear system by combining variational methods with the monotonicity approach. The advance over existing research is that we can consider systems of Dirichlet problems in which the operator is not necessarily linear. [ABSTRACT FROM AUTHOR]

Published
2023
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6. Dependence on parameters for nonlinear equations—Abstract principles and applications.

Author

Bełdziński, Michał, Galewski, Marek, and Kossowski, Igor

Subjects
*NONLINEAR equations, *DIRICHLET problem, *EULER equations, *MONOTONE operators, *FUNCTIONALS
Abstract

We provide parameter‐dependent version of the Browder–Minty Theorem in case when the solution is unique utilizing different types of monotonicity and compactness assumptions related to condition (S)2. Potential equations and the convergence of their Euler action functionals are also investigated. Applications towards the dependence on parameters for both potential and nonpotenial nonlinear Dirichlet boundary problems are given. [ABSTRACT FROM AUTHOR]

Published
2022
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8. Existence results for one-dimensional fractional equations.

Author

Galewski, Marek and Bisci, Giovanni Molica

Subjects
*CRITICAL point theory, *DIFFERENTIABLE functions, *DIFFERENTIAL equations, *BOUNDARY value problems, *FRACTIONAL calculus, *FRACTIONAL integrals
Abstract

In this note, a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one-dimensional fractional problems admits at least one non-trivial solution under an asymptotical behaviour of the nonlinear datum at zero. A concrete example of an application is then presented. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2016
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