Plenary Lecture
The spectral problems of some nonlinear differential equations
Professor Gabriella Bognar
Department of Analysis,
Miskolc-Egyetemvaros,
Hungary
E mail: matvbg@uni-miskolc.hu
Abstract: The present study deals with
eigenvalue problems of nonlinear differential equations with p-Laplacian. If
p=1, these problems reduce to linear eigenvalue problems which are well
understood and treated in many classical books. For the nonlinear differential
equations we consider the eigenvalues and eigenfunctions concerning different
domains, some isoperimetric problems and some properties of the periodic
solutions.
Our aim is to present results on the nonlinear differential equations involving
p-Laplacian. We show similarities in the qualitatvive behavior of solutions of
the linear and nonlinear problems, and we also point out phenomena where
properties of solutions considerably differ.
Brief Biography of the Speaker:
Gabriella Bognar received the M.Sc. in Mechanical Engineering from University of
Miskolc, Miskolc, Hungary, the Ph.D. in Mathematics and 'Candidate' of Math.
Sciences from the Hungarian Academy of Sciences. She is presently a Professor at
the Department of Analysis, University of Miskolc, Hungary.
Her teaching and research interests are in the areas of ordinary and partial
differential equations, analysis, and complex functions.
Gabriella Bognar has published 5 books, and over 70 papers. She has been
reviewer of Mathematical Reviews. She is on the editorial board of Mathematical
Notes, Miskolc.