Elliptic partial differential equations of second order. Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Эллиптические дифференциальные уравнения с частными производными второго порядка.) (Russian) Zbl 0691.35001

Gilbarg, D.; Trudinger, N. S.

Moskva: Nauka. 464 p. (1989).

See the review of the first English edition in Zbl 0361.35003 and of the second enlarged English edition in Zbl 0562.35001.

MSC:

35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations
35J65	Nonlinear boundary value problems for linear elliptic equations
35B45	A priori estimates in context of PDEs
35J25	Boundary value problems for second-order elliptic equations
35B50	Maximum principles in context of PDEs
35B05	Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
47H10	Fixed-point theorems

Keywords:

Schauder theory; \(L^p\)-theory; Hilbert space approach; method of continuity; method of a-priori-bounds; quasilinear equation; equation of prescribed mean curvature; fully nonlinear equations; Monge-Ampère equations

Citations:

Zbl 0361.35003; Zbl 0562.35001