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Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.

Differential equations, Elliptic. --- Differential equations, Partial. --- Partial differential equations --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Dirichlet Problems for Elliptic Equations. --- Distributional Solution. --- Entropy Solutions. --- Leray-Lions Problem. --- Nonlinear Elliptic Partial Differential Equations in Divergence Form. --- Sobolev Space.