TY - JOUR AU - Ho, Ky AU - Nhan, Le Cong AU - Truong, Le Xuan PY - 2022/12/10 Y2 - 2024/03/29 TI - A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 60 IS - 2 SE - DO - 10.12775/TMNA.2022.021 UR - https://apcz.umk.pl/TMNA/article/view/41319 SP - 601 - 632 AB - We investigate the boundedness and regularity of solutions to degenerate elliptic equations with variable exponents that are subject to the Dirichlet boundary condition. By employing the De Giorgi iteration, we obtain a-priori bounds and the Hölder continuity for solutions. As an application, we obtain the existence of infinitely many small solutions for a class of degenerate elliptic equations involving variable exponents. ER -