Open AccessOn elliptic problems with a nonlinearity depending on the gradient
Author(s) -
J. Chabrowski
Publication year - 2009
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2009.29.4.377
Subject(s) - mathematics , nonlinear system , mathematical analysis , physics , quantum mechanics
We 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 \(1 \leq m \lt 2\)
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