Geodesic
UPPER AND LOWER SOLUTIONS FOR THE SINGULAR p-LAPLACIAN WITH SIGN CHANGING NONLINEARITIES VIA INEQUALITY THEORY
Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 439-460

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DOI

In this paper, general existence theorems are presented for the singular equation \[\left\{\begin{array}{@{}l}-(\varphi_p(u^{\prime}))^{\prime}=f(t,u,u^{\prime}),\;0<t<1\\[3pt]u(0)=u(1)=0.\end{array}\right.\] Throughout, our nonlinearity is allowed to change sign. The singularity may occur at $u=0,$$t=0$ and $t=1$.
DOI : 10.1017/S0017089505002697
Mots-clés : 34B15, 34B16 
LÜ, HAISHEN; O'REGAN, DONAL; AGARWAL, RAVI P. UPPER AND LOWER SOLUTIONS FOR THE SINGULAR p-LAPLACIAN WITH SIGN CHANGING NONLINEARITIES VIA INEQUALITY THEORY. Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 439-460. doi: 10.1017/S0017089505002697
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     author = {L\"U, HAISHEN and O'REGAN, DONAL and AGARWAL, RAVI P.},
     title = {UPPER {AND} {LOWER} {SOLUTIONS} {FOR} {THE} {SINGULAR} {p-LAPLACIAN} {WITH} {SIGN} {CHANGING} {NONLINEARITIES} {VIA} {INEQUALITY} {THEORY}},
     journal = {Glasgow mathematical journal},
     pages = {439--460},
     year = {2005},
     volume = {47},
     number = {3},
     doi = {10.1017/S0017089505002697},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002697/}
}
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