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Positive solutions for a mixed and singular quasilinear problem

✍ Scribed by J.V.A. Gonçalves; M.C. Rezende; C.A. Santos


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
231 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis


We deal with the existence of solution for the nonlinear elliptic problem

is a suitable function and λ > 0 is a real parameter. The nonlinearity f is allowed to behave like either f (x, s) s→0 -→ ∞ and/or f (x, s) s→∞ -→ ∞ for each x ∈ Ω.


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Positive solutions for mixed problems of
✍ Ravi P. Agarwal; Donal O'Regan; Svatoslav Staněk 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

## Abstract We investigate the existence of positive solutions to the singular fractional boundary value problem: \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$^c\hspace{-1.0pt}D^{\alpha }u +f(t,u,u^{\prime },^c\hspace{-2.0pt}D^{\mu }u)=0$\end{document}, __u__′(0) = 0