| Abstract: | We study quasilinear elliptic equations with strong nonlinear terms and systems of such equations. The methods developed by the authors in 1], 2] are used to prove the existence of solutions for boundary—value problems using some information on behavior of potential bounds for nonlinearities; the L–characteristics of elliptic operators and their fractional powers play an important role. New conditions are suggested for the existence of classical solutions of quasilinear second order elliptic equations. |
