Download E-books Nonlinear Analysis with Applications to Semilinear Elliptic Problems PDF

By Antonio Ambrosetti, Andrea Malchiodi

Many difficulties in technological know-how and engineering are defined by way of nonlinear differential equations, that are notoriously tough to resolve. throughout the interaction of topological and variational principles, tools of nonlinear research may be able to take on such basic difficulties. This graduate textual content explains a few of the key innovations in a fashion that would be liked through mathematicians, physicists and engineers. ranging from straightforward instruments of bifurcation concept and research, the authors conceal a few extra glossy themes from serious aspect thought to elliptic partial differential equations. a chain of Appendices provide handy bills of quite a few complex subject matters that may introduce the reader to parts of present examine. The publication is abundantly illustrated and lots of chapters are rounded off with a suite of workouts.

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