Resonant (p,q)-equations with Robin boundary condition
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We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at ±∞ with respect to any nonprincipal variational eigenvalue of the Robin p-Laplacian. Using variational methods and Morse theory (critical groups), we show the existence of at least three nontrivial smooth solutions.
CitationFilippakis, M. E., & Papageorgiou, N. S. (2018). Resonant (p,q)-equations with Robin boundary condition. Electronic Journal of Differential Equations, 2018(01), pp. 1-24.
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