@misc{10498/28969, year = {2023}, month = {5}, url = {http://hdl.handle.net/10498/28969}, abstract = {In this work, we show the existence of a capacity solution for a nonlinear coupled parabolic–elliptic system in inhomogeneous anisotropic Orlicz-Sobolev spaces without assuming the Δ2-condition on the N-functions. This system describes the heat surge generated within a semiconductor device by an electrical direct current. This may be seen as a generalization of the so-called thermistor problem.}, publisher = {Elsevier}, keywords = {Capacity solution}, keywords = {Inhomogeneous anisotropic Orlicz-Sobolev spaces}, keywords = {Monotone operators}, keywords = {Nonlinear parabolic equations}, keywords = {Thermistor problem}, keywords = {Weak solution}, title = {Existence of a capacity solution to a nonlinear parabolic–elliptic coupled system in anisotropic Orlicz-Sobolev spaces}, doi = {10.1016/j.rinam.2023.100376}, author = {Ortegón Gallego, Francisco and Ouyahya, Hakima and Rhoudaf, Mohamed}, }