TY - JOUR AU - Castro, Alfonso AU - Mavinga, Nsoki AU - Pardo, Rosa PY - 2019/01/12 Y2 - 2024/03/29 TI - Equivalence between uniform $L^{2^\star}(\Omega)$ a-priori bounds and uniform $L^{\infty}(\Omega)$ a-priori bounds for subcritical elliptic equations JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 53 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2018.036 SP - 43 - 56 AB - We provide sufficient conditions for a uniform $L^{2^\star}(\Omega)$ bound to imply a uniform $L^\infty (\Omega)$ bound for positive classical solutions to a class of subcritical elliptic problems in bounded $C^2$ domains in ${\mathbb R}^N$. We also establish an equivalent result for sequences of boundary value problems. ER -