|
Alberto Ferrero |
|
|
Research interests
Elliptic problems with measures
|
Elliptic problems with measures This part of my research is made of three papers dealing with existence and multiplicity results for second order elliptic equations with measures. A suitable weak formulation for such problems is given; in order to apply classical methods from the critical point theory, these kind of problems are reduced to an equivalent formulation by mean of a suitable change of the unknown function. In paper [3] the notion of weak slope for nonsmooth functional is also exploited.
[1] A. Ferrero, C. Saccon, Existence and multiplicity results for semilinear equations with measure data,
Topological Methods in Nonlinear Analysis 28, 2006, 285-318
PDF
[2] A. Ferrero, C. Saccon, Existence and multiplicity results for semilinear elliptic equations with measures
and jumping nonlinearities, Topological Methods in Nonlinear Analysis 30, 2007, 37-66
PDF
[3] A. Ferrero, C. Saccon, Multiplicity results for a class of asymptotically linear elliptic
problems with resonance and applications to problems with measure data,
Advanced Nonlinear Studies 10, 2010, 433-479
|