On Pairs of Positive Solutions for a Class of p-Laplacian Equation with Convex and Concave Nonlinearities

GAO Ting-mei

doi:10.13718/j.cnki.xsxb.2015.04.005

Journal of Southwest China Normal University(Natural Science Edition)

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2015 Volume 40 Issue 4

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GAO Ting-mei. On Pairs of Positive Solutions for a Class of p-Laplacian Equation with Convex and Concave Nonlinearities[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.005

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GAO Ting-mei. On Pairs of Positive Solutions for a Class of p-Laplacian Equation with Convex and Concave Nonlinearities[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.005

On Pairs of Positive Solutions for a Class of p-Laplacian Equation with Convex and Concave Nonlinearities

GAO Ting-mei

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Abstract

In this paper ,we consider a class of superlinear p‐Laplacian equations involving some convex and concave nonlinearities .The main difficulty here is that the nonlinearity f(x ,t) does not necessarily verify the well‐known (AR) condition .Based on the knowledge of critical point theory and Ekeland variational principle ,a pair of positive solutions are obtained .
- positive solution，p-Laplacian equations，Ekeland variational principle,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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