Zapraszamy na kolejne spotkanie z cyklu: Hot Topics in Science and Technology.
Najbliższe wydarzenie odbędzie się 24 października o godzinie 14:15. Wykład "Problems with unbalanced growth: a trip around "nonlinearity and anisotropy" wygłosi prof. V. D. Radulescu z Akademii Górniczo-Hutniczej w Krakowie oraz Akademii Rumuńskiej w Bukareszcie.
Osoby zainteresowane udziałem prosimy o kontakt via MS Teams z Prodziekanem ds. Kształcenia Wydziału FTIMS - drem hab. Markiem Galewskim, prof. uczelni. Poniżej zamieszczamy abstrakt wykładu:
This talk is a mild invitation to the study of some nice nonlinear problems with high interest in the analysis of some relevant phenomena arising in mathematical physics, image reconstruction, and other applied fields. I shall discuss some recent striking results in the qualitative analysis of some classes of isotropic and anisotropic double phase equations. In the isotropic case, a strange discontinuity property of the spectrum will be highlighted. In the anisotropic case, I shall introduce the class of problems with "mixed regime", in the sense that nonlinear problems with "variable exponent" can behave a nonusual subcritical-critical-supercritical growth. During my talk, I shall highlight the crucial role played by the Nehari manifold theory and the Palais principle of symmetric criticality.