In the present note we establish an almost-optimal solvability result for Kirchhoff-type problems of the following form (Formula presented) where f has sublinear growth and M is a non-decreasing map with M(0) ≥ 0. Our approach is purely variational, and the result we obtain is resemblant to the one established by Brezis and Oswald (Nonlinear Anal., 1986) for sublinear elliptic equations.
On a Brezis-Oswald-type result for degenerate Kirchhoff problems
Biagi, Stefano;
2024-01-01
Abstract
In the present note we establish an almost-optimal solvability result for Kirchhoff-type problems of the following form (Formula presented) where f has sublinear growth and M is a non-decreasing map with M(0) ≥ 0. Our approach is purely variational, and the result we obtain is resemblant to the one established by Brezis and Oswald (Nonlinear Anal., 1986) for sublinear elliptic equations.File in questo prodotto:
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S. Biagi, E. Vecchi - On a Brezis-Oswald-type result for degenerate Kirchhoff problems.pdf
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