MR2493879
D. D. HAI
D. D. HAI
On a Class of Singular Sublinear $p$-Laplacian Problems
Funkcialaj Ekvacioj. Serio Internacia
51
2008
463--476
http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-3/51_463.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2493879
We establish existence results for positive solutions of the boundary value problem<br />
$$\left\{\begin{array}{c}(q(t)\phi(u^{\prime}))^{\prime}+\lambda r(t)f(u)=0,\;t\in(a,b)\\ u(a)=u(b)=0,\end{array}\right.$$<br />
where $\phi(x)=|x|^{p-2}x$, $p>1$, $q\in C[a,b]$, $r\in L^{1}(a,b)$, $f$ is allowed to have negative values and become infinite at $0$, and $\lambda$ is a positive parameter.
$p$-Laplace, Sublinear, Singular boundary value problems.
34B16, 34B18.
51-463
2008
On a Class of Singular Sublinear $p$-Laplacian Problems
D. D. HAI
D. D. HAI
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