Positive solutions for a discrete two point nonlinear boundary value problem with p-Laplacian

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• 作者：Giuseppina D'Aguì ; ^a ; ^{gdagui@unime.it" class="auth_mail" title="E-mail the corresponding author} ; Jean Mawhin^b ; ^{jean.mawhin@uclouvain.be" class="auth_mail" title="E-mail the corresponding author} ; Angela Sciammetta^a ; ^{asciammetta@unime.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Difference equations ; Discrete boundary value problems ; Positive solutions ; Two solutions ; p-Laplacian ; Critical point theory
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：447
• 期：1
• 页码：383-397
• 全文大小：368 K

文摘

In the framework of variational methods, we use a two non-zero critical points theorem to obtain the existence of two positive solutions to Dirichlet boundary value problems for difference equations involving the discrete p-Laplacian operator.