TY - JOUR ID - Motreanu2025 LB - Motreanu2025 AU - Motreanu, Dumitru TI - A general elliptic equation with intrinsic operator ST - A general elliptic equation with intrinsic operator JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2025 VL - 45 IS - 5 SP - 647 EP - 655 DO - https://doi.org/10.7494/OpMath.2025.45.5.647 UR - https://doi.org/10.7494/OpMath.2025.45.5.647 AB - Existence and bound of a solution is established for a general elliptic equation with intrinsic operator subject to Dirichlet boundary condition. This provides a sufficient condition to the fundamental question if there is a solution belonging to a prescribed ball in the function space. An application deals with an equation involving a convolution product. KW - nonlinear elliptic equation KW - intrinsic operator KW - convolution SN - 1232-9274 ER -