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- W2944704841 abstract "We investigate the solvability of the Ambrosetti-Prodi problem for the p-Laplace operator ∆p with Venttsel' boundary conditions on a twodimensional open bounded set with Koch-type boundary, and on an open bounded three-dimensional cylinder with Koch-type fractal boundary. Using a priori estimates, regularity theory and a sub-supersolution method, we obtain a necessary condition for the non-existence of solutions (in the weak sense), and the existence of at least one globally bounded weak solution. Moreover, under additional conditions, we apply the Leray-Schauder degree theory to obtain results about multiplicity of weak solutions." @default.
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- W2944704841 date "2019-01-01" @default.
- W2944704841 modified "2023-09-25" @default.
- W2944704841 title "A quasi-linear nonlocal Venttsel' problem of Ambrosetti–Prodi type on fractal domains" @default.
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- W2944704841 doi "https://doi.org/10.3934/dcds.2019184" @default.
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