An analytic approach to the equation $\Delta u = u^2$ A probabilistic approach to the equation $\Delta u = u^2$ Lower bounds for solutions Upper bounds for solutions The classification and representation of the solutions of $\Delta u = u^2$ in a domain Appendix A. Technical resu…
This text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Topics include the theory of weighted variational capacity; solutions and supersolutions of equation; balayage; Perron's method, barri…
Biographical note: Lucio Boccardo, University of Rome, Italy; Gisella Croce, University of Le Havre, France. Elliptic partial differential equations is one of the main and most active areas in mathematics. In our book we study linear and nonlinear elliptic problems in divergenc…