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We consider a nonlinear Robin problem driven by the $p$-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly $(p-1)$-sublinear and the other… Click to show full abstract
We consider a nonlinear Robin problem driven by the $p$-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly $(p-1)$-sublinear and the other one is $(p-1)$-linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all large enough values of parameter $\lambda$ the problem has at least five nontrivial smooth solutions.
Keywords:
robin;
nonlinear resonant;
resonant robin;
parametric nonlinear;
robin problems
Journal Title: Mathematische Nachrichten
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Nachrichten
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!