We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory suited to this setting.
Colturato, M., Degiovanni, M., A Fredholm alternative for quasilinear elliptic equations with right hand side measure, <<ADVANCES IN NONLINEAR ANALYSIS>>, 2016; 5 (2): 177-203. [doi:10.1515/anona-2015-0142] [http://hdl.handle.net/10807/77646]
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
Degiovanni, MarcoUltimo
2016
Abstract
We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory suited to this setting.
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