On Tuesday, June 23, Department of Mathematics will host a lecture by Prof. Galewski from the Institute of Mathematics, Faculty of Technical Physics, Information Technology, and Applied Mathematics, Technical University of Łódź:
On the existence and uniqueness of homoclinic solutions for non-variational discrete problems
Abstract: In this talk, we discuss the existence and uniqueness of homoclinic solutions to discrete boundary value problems involving the p-Laplacian operator, where the nonlinearity depends explicitly on the first-order forward difference operator. Since the problem does not admit a variational structure, standard variational techniques cannot be applied. To address this difficulty, we use the Browder-Minty theorem, which provides the main tool for establishing our results.
The lecture is part of Prof. Galewski’s annual research visit to the Institute of Mathematics.
