Pardo San Gil, Rosa2023-06-212023-06-21https://hdl.handle.net/20.500.14352/65278Let us consider a semilinear boundary value problem −∆u =f(x, u), in Ω, with Dirichlet boundary conditions, where Ω ⊂ R N , N > 2, is a bounded smooth domain. We provide sufficient conditions guarantying that semi-stable weak positive solutions to subcritical semilinear elliptic equations are smooth in any dimension, and as a consequence, classical solutions. By a subcritical nonlinearity we mean f(x, s)/s N+2 N−2 → 0 as s → ∞, including non-power nonlinearities, and enlarging the class of subcritical nonlinearities, which is usually reserved for power like nonlinearities.spaOn the smoothness of weak solutions to subcritical semilinear elliptic equations in any dimensionjournal articleopen access517Semi-stable solutionsRegularity for weak solutionsSubcritical nonlinearitiesL∞apriori boundsAnálisis matemático1202 Análisis y Análisis Funcional