1u( 0) =u(1) =0.end{cases}]Here $f(t,u) geq -M,$ ($M$ is a positive constan'/> Existence and Multiplicity of Positive Solutions for Singular Semipositone $p$-Laplacian Equations
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Existence and Multiplicity of Positive Solutions for Singular Semipositone $p$-Laplacian Equations

机译:奇异Semipositone $ p $ -Laplacian方程正解的存在性和多重性

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Positive solutions are obtained for the boundary value problem[egin{cases}-( | u'| ^{p-2}u')'=lambda f( t,u),;tin ( 0,1) ,p>1u( 0) =u(1) =0.end{cases}]Here $f(t,u) geq -M,$ ($M$ is a positive constant)for $(t,u) in [0mathinner{,}1] imes (0,infty )$.We will show the existence of two positivesolutions by using degree theory together with the upper-lowersolution method.
机译:获得了边值问题的正解[egin {cases}-(| u'| ^ {p-2} u')'= lambda f(t,u),; tin(0,1),p> 1 u(0)= u(1)= 0.end {cases}]在[0mathinner]中,为$(t,u)的$ f(t,u)geq -M,$($ M $是一个正常数) {,} 1] imes(0,infty)$。我们将通过使用度数理论和上下解方法来证明两个正解的存在。

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