Homoclinic solutions in non-periodic discrete -Laplacian equations with mixed nonlinearities

详细信息    查看全文

• 作者：Genghong Lin ; Zhan Zhou ; ^{zzhou0321@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Homoclinic solution ; Discrete ϕϕ-Laplacian ; Mixed nonlinearity ; Critical point theory ; Non-periodic
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：15-20
• 全文大小：575 K

文摘

By using critical point theory, we obtain some sufficient conditions on the existence of homoclinic solutions of a class of non-periodic discrete 965916302245&_mathId=si1.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=5169e789b720d5af61ee2e2c9a51a285" title="Click to view the MathML source">ϕ$\varphi$-Laplacian equations. In our paper, the nonlinearities can be mixed super 965916302245&_mathId=si3.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=a3d5accf6ed27ed3fbd4f50230b9d7e5" title="Click to view the MathML source">p$p$-linear with asymptotically 965916302245&_mathId=si3.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=a3d5accf6ed27ed3fbd4f50230b9d7e5" title="Click to view the MathML source">p$p$-linear at 965916302245&_mathId=si5.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=b100ee9d327f992a472c8150d0bf1a83" title="Click to view the MathML source">∞$\infty$ for 965916302245&_mathId=si6.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=d787e8d9532b33931cdbe68d44d9af70" title="Click to view the MathML source">p≥1$p\ge 1$, and be mixed superlinear with asymptotically linear at 965916302245&_mathId=si7.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=be3f319147b8c1c7626850647b0d9458" title="Click to view the MathML source">0$0$. To the best of our knowledge, there is no such result for the existence of homoclinic solutions in non-periodic discrete 965916302245&_mathId=si1.gif&_user=111111111&_pii=S0893965916302245&_rdoc=1&_issn=08939659&md5=5169e789b720d5af61ee2e2c9a51a285" title="Click to view the MathML source">ϕ$\varphi$-Laplacian equations before. Some results in the literature are improved.