@misc{10481/98362,
year = {2024},
month = {11},
url = {https://hdl.handle.net/10481/98362},
abstract = {We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction. The approach used combines variational methods, truncation techniques, and concentration compactness arguments, together with set-valued analysis and fixed point theory. De Giorgi’s technique, a priori gradient estimates, and nonlinear regularity theory are employed to obtain local C1,α regularity of solutions, as well as their pointwise decay at infinity. The result is new even in the non-singular case, also for the Laplacian.},
organization = {INdAM-GNAMPA Project 2023 titled Problemi ellittici e parabolici con termini
di reazione singolari e convettivi (E53C22001930001)},
organization = {National Science
Centre, Poland (Grant No. 2020/37/B/ST1/02742)},
organization = {“Maria de Maeztu” Excellence Unit IMAG, reference
CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/},
organization = {Projects: 1) PRIN 2017 “Nonlinear Differential Problems via Variational, Topological and
Set-valued Methods” (Grant no. 2017AYM8XW) of MIUR; and 2) PRA 2020–2022 “PIACERI” Linea 3 of the
University of Catania},
organization = {European Union Next-GenerationEU (National Recovery and Resilience Plan - NRRP, Mission
4, Component 2, Investment 1.3 – D.D. 1243 2/8/2022, PE0000005)},
publisher = {De Gruyter},
keywords = {mountain pass theorem},
keywords = {concentration compactness},
keywords = {set-valued analysis},
title = {Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction},
doi = {10.1515/anona-2024-0033},
author = {Baldelli, Laura and Guarnotta, Umberto},
}