Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction Baldelli, Laura Guarnotta, Umberto mountain pass theorem concentration compactness set-valued analysis 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. 2024-12-20T11:46:26Z 2024-12-20T11:46:26Z 2024-11-26 journal article Baldelli, L. & Guarnotta, U. Advances in Nonlinear Analysis 2024; 13: 20240033. [https://doi.org/10.1515/anona-2024-0033] https://hdl.handle.net/10481/98362 10.1515/anona-2024-0033 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional De Gruyter