The existence of multiple solutions to a Dirichlet problem with (p,q)-Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue of $-\Delta_p$ in $W^{1,p}_0(\Omega)$ and exhibits a concave behavior near zero.
Multiple solutions to (p,q)-Laplacian problems with resonant concave nonlinearity
MARANO, Salvatore Angelo;MOSCONI, SUNRA JOHANNES NIKOLAJ;
2016-01-01
Abstract
The existence of multiple solutions to a Dirichlet problem with (p,q)-Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue of $-\Delta_p$ in $W^{1,p}_0(\Omega)$ and exhibits a concave behavior near zero.File in questo prodotto:
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