Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839692 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 33 Pages |
Abstract
For a general class of elliptic PDE’s in mean field form on compact Riemann surfaces with exponential nonlinearity, we address the question of the existence of solutions with concentrated nonlinear term, which, in view of the applications, are physically of definite interest. In the model, we also include the possible presence of singular sources in the form of Dirac masses, which makes the problem more difficult to attack.
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Authors
Pierpaolo Esposito, Pablo Figueroa,