Browsing by Subject "nonlinearity depending on the gradient"
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Item type:Article, Access status: Open Access , On elliptic problems with a nonlinearity depending on the gradient(2009) Chabrowski, JanWe investigate the solvability of the Neumann problem $(1.1)$ involving the nonlinearity depending on the gradient. We prove the existence of a solution when the right hand side $f$ of the equation belongs to $L^m(\Omega )$ with $1 \leq m \lt 2$.
