In this paper we study the existence of solutions for nonlinear anisotropic elliptic problems with irregular forcing terms and nonlinear convection terms. We show that under suitable conditions there exist distributional solutions. Moreover, the existence of entropy solutions is proved for a larger class of problems.
Some anisotropic elliptic problems with irregular data / Giuseppa Cirmi, Rita; Porzio, Maria Michaela. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - (2025). [10.1007/s13163-025-00541-9]
Some anisotropic elliptic problems with irregular data
Maria Michaela Porzio
2025
Abstract
In this paper we study the existence of solutions for nonlinear anisotropic elliptic problems with irregular forcing terms and nonlinear convection terms. We show that under suitable conditions there exist distributional solutions. Moreover, the existence of entropy solutions is proved for a larger class of problems.File allegati a questo prodotto
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