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5.0
70 reviewsThe book starts with a short review of the Laplace operator and harmonic functions. The theory of Schauder estimates is developed next but presented with various proofs of the results. Nonlinear elliptic PDE are covered in the following, both in the variational and non-variational setting, and, finally, the obstacle problem is studied in detail, establishing the regularity of solutions and free boundaries.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
