TY - JOUR ID - Stegliński2022 LB - Stegliński2022 AU - Stegliński, Robert TI - Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent ST - Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2022 VL - 42 IS - 5 SP - 751 EP - 761 DO - https://doi.org/10.7494/OpMath.2022.42.5.751 UR - https://doi.org/10.7494/OpMath.2022.42.5.751 AB - Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature. KW - dual fountain theorem KW - \(p(\cdot)\)-Laplacian KW - fractional \(p(\cdot)\)-Laplacian KW - infinitely many solutions SN - 1232-9274 ER -