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POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMS

Xiangfeng Li|Wanyin Xu
대한수학회 (The Korean Mathematical Society)|2010.03|대한수학회보 (Bulletin of the KMS)|제47권 제2호|pp. 411-422

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참고문헌

키워드

positive solutionboundary value problemp-Laplace equationfixed point index theory
주제분류수학

초록

By using the fixed point index theory, we investigate the existence of at least two positive solutions for p-Laplace equation with sign-changing nonlinear terms (ρp(u'))'+a(t)f(t, u(t), u'(t)) = 0, subject to some boundary conditions. As an application, we also give an example to illustrate our results.

Abstract

By using the fixed point index theory, we investigate the existence of at least two positive solutions for p-Laplace equation with sign-changing nonlinear terms (ρp(u'))'+a(t)f(t, u(t), u'(t)) = 0, subject to some boundary conditions. As an application, we also give an example to illustrate our results.

참고문헌 (14)

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  11. D. Ma, "Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order p-Laplacian BVP", Appl. Math. Lett., 20(12), pp.1244~1249 (2007)
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