Positive solutions for nonlinear Robin problems with convection

Diego Averna, Elisabetta Tornatore, Nikolaos S. Papageorgiou

Risultato della ricerca: Article

Abstract

We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.
Lingua originaleEnglish
pagine (da-a)1907-1920
Numero di pagine14
RivistaMathematical Methods in the Applied Sciences
Volume42
Stato di pubblicazionePublished - 2019

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Leray-Schauder Alternative
Robin Problem
Topological Methods
P-Laplacian
Smooth Solution
Growth Conditions
Convection
Nonlinear Problem
Positive Solution
Term

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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Positive solutions for nonlinear Robin problems with convection. / Averna, Diego; Tornatore, Elisabetta; Papageorgiou, Nikolaos S.

In: Mathematical Methods in the Applied Sciences, Vol. 42, 2019, pag. 1907-1920.

Risultato della ricerca: Article

Averna, D, Tornatore, E & Papageorgiou, NS 2019, 'Positive solutions for nonlinear Robin problems with convection', Mathematical Methods in the Applied Sciences, vol. 42, pagg. 1907-1920.
Averna D, Tornatore E, Papageorgiou NS. Positive solutions for nonlinear Robin problems with convection. Mathematical Methods in the Applied Sciences. 2019;42:1907-1920.
Averna, Diego ; Tornatore, Elisabetta ; Papageorgiou, Nikolaos S. / Positive solutions for nonlinear Robin problems with convection. In: Mathematical Methods in the Applied Sciences. 2019 ; Vol. 42. pagg. 1907-1920.
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AB - We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.

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