QUASI-LINEAR ELLIPTIC EQUATIONS AND VARIATIONAL PROBLEMS WITH MANY INDEPENDENT VARIABLES
Olga Aleksandrovna Ladyzhenskaya, Nina Nikolaevna Ural'tseva · Russian Mathematical Surveys · 1961
CONTENTSIntroductionSome notation and terminology § 1. Statement of the problems. Fundamental results § 2. Auxiliary lemmas § 3. A priori estimates for the first derivatives of solutions of quasi-linear equations § 4. The solutions of quasi-linear equations belong to the classes § 5. A priori estimates for the solutions of quasi-linear elliptic equations (continuation) § 6. Estimates in a closed domain § 7. Existence theorem for quasi-linear equations § 8. Variational problems § 9. Proof of the fundamental theorem on generalized solutions of the variational problem § 10. Estimates for the maxima of the moduli of the solutionsAppendixRemarksReferences