Asymptotic Formula for Large Solutions of the p-Laplacian in 1D
GIRG, P. Asymptotic Formula for Large Solutions of the p-Laplacian in 1D. Avignon, 2006.
|Anglický název:||Asymptotic Formula for Large Solutions of the p-Laplacian in 1D|
|Abstrakt EN:||Boundary value problems for quasilinear differential equations appear in many mathematical models nowadays. We will explain how to find fourth order asymptotic formula; the main topic of this talk. At this point we would like to underline the fact that all steps in finding this formula cover 208 pages of A4 papers if printed in 10pt font. Thus it seems to be impossible to get this formula without any assistance of computer. The talk concentrates on underlying ideas of general interest and their implementation; it is not a slideshow of 208 pages. Theoretical consequences of our formula (existence, multiplicity and asymptotic bifurcation of large solutions) will be presented on a poster by Benedikt, Čepička, Girg and Takáč.|