TY - JOUR ID - Rădulescu2019 LB - Rădulescu2019 AU - Rădulescu, Vicenţiu D. TI - Isotropic and anisotropic double-phase problems: old and new ST - Isotropic and anisotropic double-phase problems: old and new JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2019 VL - 39 IS - 2 SP - 259 EP - 279 DO - https://doi.org/10.7494/OpMath.2019.39.2.259 UR - https://doi.org/10.7494/OpMath.2019.39.2.259 AB - We are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the \((p,q)\)- and \((p(x),q(x))\)-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of this paper is in relationship with pioneering contributions due to P. Marcellini and G. Mingione. KW - differential operator with unbalanced growth KW - double-phase energy KW - variable exponent SN - 1232-9274 ER -