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We consider semilinear parametric Robin problems driven by the Laplacian plus an indefinite and unbounded potential. In the reaction we have two competing nonlinearities. However, the competition is different from… Click to show full abstract
We consider semilinear parametric Robin problems driven by the Laplacian plus an indefinite and unbounded potential. In the reaction we have two competing nonlinearities. However, the competition is different from the usual one in “concave-convex” problems. Using a combination of different tools we prove a multiplicity theorem producing seven nontrivial smooth solutions all with sign information (four of constant sign and three nodal).
Keywords:
robin;
competition;
semilinear robin;
problems indefinite;
indefinite potential;
robin problems
Journal Title: Acta Applicandae Mathematicae
Year Published: 2019
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Journal Title: Acta Applicandae Mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!