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- W2563397997 abstract "We study a one-dimensional $p$-Laplacian resonant problem with $p$-sublinear terms and depending on a positive parameter. By using quadrature methods we provide the exact number of positive solutions with respect to $muinmathopen{]}0,+inftymathclose[$. Specifically, we prove the existence of a critical value $mu_1> 0$ such that the problem under examination admits: no positive solutions and a continuum of nonnegative solutions compactly supported in $[0,1]$ for $muinmathopen{]}0,mu_1mathclose[$; a unique positive solution of compacton-type for $mu=mu_1$; a unique positive solution satisfying Hopf's boundary condition for $muinmathopen{]}mu_1,+inftymathclose[$." @default.
- W2563397997 created "2017-01-06" @default.
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- W2563397997 date "2016-12-28" @default.
- W2563397997 modified "2023-09-30" @default.
- W2563397997 title "Uniqueness of positive and compacton-type solutions for a resonant quasilinear problem" @default.
- W2563397997 doi "https://doi.org/10.12775/tmna.2016.090" @default.
- W2563397997 hasPublicationYear "2016" @default.
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