RT Journal Article
T1 Equivalence between uniform Lp∗ a priori bounds and uniform L∞ a priori bounds for subcritical p-laplacian equations
A1 Mavinga, Nsoki
A1 Pardo San Gil, Rosa María
AB We establish sufficient conditions for a uniform Lp⋆ (Ω) bound to imply a uniform L∞(Ω) bound for positive weak solutions of sub- critical p-Laplacian equations. We also provide an equivalent result for sequences of boundary-value problems. As consequences, we prove that any set of solutions with finite energy is L∞(Ω) a priori bounded, and also obtain an alternative proof of the existence of a priori bounds for subcritical power like nonlinearities.
PB Springer
YR 2021
FD 2021-01-04
LK https://hdl.handle.net/20.500.14352/104327
UL https://hdl.handle.net/20.500.14352/104327
LA eng
NO Mavinga, N., Pardo, R. Equivalence between uniform a priori bounds and uniform a priori bounds for subcritical p-laplacian equations. Mediterr. J. Math. 18, 13 (2021). https://doi.org/10.1007/s00009-020-01673-6
NO N. Mavinga was supported by the Lang Faculty Fellowship 2019-2020, Swarthmore College.
NO R. Pardo is supported by Spanish Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 6 abr 2025