%0 Generic %A Liu Zhenhai %A Papageorgiou Nikolaos S. %C Szeged %D 2022 %F acta:76542 %K Dirichlet probléma %N 41 %T Dirichlet problems with unbalanced growth and convection %U http://acta.bibl.u-szeged.hu/76542/ %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 Sobolev–Orlicz space. %Z Bibliogr.: p. 10-12. ; összefoglalás angol nyelven