The aim of the paper is to study a quasilinear Dirichlet problem driven by a p-Laplacian type operator with unbounded coefficient and exhibiting a convection term composed with an intrinsic operator. The existence of a bounded weak solution is established. Applications address equations with convolution, truncation, and inverse of p-Laplacian.
Motreanu D., Tornatore E. (2024). Elliptic equations with unbounded coefficient, convection term and intrinsic operator. MATHEMATISCHE ZEITSCHRIFT, 308(2) [10.1007/s00209-024-03591-9].
Elliptic equations with unbounded coefficient, convection term and intrinsic operator
Tornatore E.
2024-09-27
Abstract
The aim of the paper is to study a quasilinear Dirichlet problem driven by a p-Laplacian type operator with unbounded coefficient and exhibiting a convection term composed with an intrinsic operator. The existence of a bounded weak solution is established. Applications address equations with convolution, truncation, and inverse of p-Laplacian.
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