"Equazioni alle derivate parziali." . . . . . . . . . . . "Non linear partial differential equations and free boundaries" . . . . . . . . . . "In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation." . . . . . . . . . . . . . . . . . "Nonlinear PDEs and free boundaries"@en . "Nonlinear PDEs and free boundaries" . "Nonlinear partial differential equations and free boundaries"@en . "Nonlinear partial differential equations and free boundaries" . . . . . . . . "Equacions diferencials parcials." . . "Ecuaciones Diferenciales Parciales." . . . . "Randwertproblem." . . "Partiële differentiaalvergelijkingen." . . "Problemas de Valores de Contorno." . . "Equazioni differenziali alle derivate parziali." . . "Freies Randwertproblem." . . "Equacions en derivades parcials." . . "Nichtlineare partielle Differentialgleichung." . . "Équations aux dérivées partielles." . . "Problèmes aux limites." . . "Differential equations, Partial." . . "Problemi al contorno." . . "Niet-lineaire vergelijkingen." . . "Differential equations, Nonlinear." . .