The existence of bounded weak solutions,to a class of nonlinear elliptic equations with variable exponents,is investigated in this article.A uniform a priori L^(∞) estimate is obtained by the De Giorgi iterative tech...The existence of bounded weak solutions,to a class of nonlinear elliptic equations with variable exponents,is investigated in this article.A uniform a priori L^(∞) estimate is obtained by the De Giorgi iterative tech-nique.Thanks to the weak convergence method and Minty's trick,the existence result is proved through limit process.展开更多
基金supported in part by the National Natural Science Foundation of China(Grant No.11901131)Youth science and technology talent growth project in Guizhou Province for ordinary institutions of higher learning(KY[2021]142).
文摘The existence of bounded weak solutions,to a class of nonlinear elliptic equations with variable exponents,is investigated in this article.A uniform a priori L^(∞) estimate is obtained by the De Giorgi iterative tech-nique.Thanks to the weak convergence method and Minty's trick,the existence result is proved through limit process.
