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本文用上下解方法,获得半线性次椭圆方程Dirichlet问题的-些存在性结果. 相似文献
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运用环绕理论和对称型山路理论对一类具有次临界多项式增长和次临界指数增长的$p$-Laplacian方程建立一个非平凡解(无穷多个非平凡解)的存在性结果. 相似文献
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In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree. 相似文献
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This paper is a sequel to a previous paper (Yang,Y.and Zhang,J.H.Existence of solutions for some fourth-order boundary value problems with parameters.Nonlinear Anal.69(2),1364–1375 (2008)) in which the nontrivial solutions to the fourthorder boundary value problems were studied.In the current work with the same conditions near infinity but different near zero,the positive,negative,and sign-changing solutions are obtained by the critical point theory,retracting property,and invariant sets. 相似文献
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关于极小极大原理 总被引:2,自引:1,他引:1
张吉慧 《纯粹数学与应用数学》1999,15(2):1-6
通过减弱条件,获得了一个新的结果。由此,我们给出一些新的极小极大定理和极小极大不等式。 相似文献
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本文利用Rellich恒等式建立了Heisenberg群上一类半线性方程解的非存在性结果. 相似文献
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延续Yang和Zhang的工作,研究了带有参数的某四阶边值问题非平凡解的存在性.对于此边值问题的非线性项,不改变其在无穷远处的条件,只是改变了在零点处的条件,综合利用临界点理论,收缩性质及流不变集理论,得到了正解、 负解及变号解的存在性. 相似文献