%T Dirichlet problems with unbalanced growth and convection %K Dirichlet problĂŠma %L acta76542 %A Liu Zhenhai %A Papageorgiou Nikolaos S. %C Szeged %D 2022 %N 41 %X We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution. Moreover, we show that the set of these solutions is compact in the corresponding generalized SobolevâOrlicz space. %O Bibliogr.: p. 10-12. ; ĂśsszefoglalĂĄs angol nyelven