Geodesic
Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 699-711.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the $p$-Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a complete survey. We focus on some pioneering works and present some contributions of the author. From this point of view the list of references is by no means exhaustive.
DOI : 10.21136/MB.2014.144146
Classification : 34B15, 34B99, 35J92, 35P30
Keywords: Fučík spectrum; $p$-Laplacian 
@article{10_21136_MB_2014_144146,
     author = {Dr\'abek, Pavel},
     title = {Two notions which affected nonlinear analysis {(Bernard} {Bolzano} lecture)},
     journal = {Mathematica Bohemica},
     pages = {699--711},
     publisher = {mathdoc},
     volume = {139},
     number = {4},
     year = {2014},
     doi = {10.21136/MB.2014.144146},
     mrnumber = {3306859},
     zbl = {06433693},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144146/}
}
TY  - JOUR
AU  - Drábek, Pavel
TI  - Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
JO  - Mathematica Bohemica
PY  - 2014
SP  - 699
EP  - 711
VL  - 139
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144146/
DO  - 10.21136/MB.2014.144146
LA  - en
ID  - 10_21136_MB_2014_144146
ER  - 
%0 Journal Article
%A Drábek, Pavel
%T Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
%J Mathematica Bohemica
%D 2014
%P 699-711
%V 139
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144146/
%R 10.21136/MB.2014.144146
%G en
%F 10_21136_MB_2014_144146
Drábek, Pavel. Two notions which affected nonlinear analysis (Bernard Bolzano lecture). Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 699-711. doi : 10.21136/MB.2014.144146. http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144146/

Cité par Sources :