A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

作者：Colturato Michele; Degiovanni Marco^*

来源：Advances in Nonlinear Analysis, 2016, 5(2): 177-203.

DOI：10.1515/anona-2015-0142

• Quasilinear elliptic equations
• right-hand side measure
• degree theory

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.

• 出版日期2016-5