35Jxx Elliptic equations and elliptic systems {For global analysis, analysis on manifolds, see 58J10, 58J20} 97653
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation [See also 31Axx, 31Bxx] 16491
35J10 Schrödinger operator, Schrödinger equation {For ordinary differential equations, see 34L40; for operator theory, see 47D08; for quantum theory, see 81Q05; for statistical mechanics, see 82B44} 7931
35J86 Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators [See also 35R35, 49J40] 242
35J87 Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators [See also 35R35, 49J40] 482
35J88 Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators [See also 35R35, 49J40] 66
35J96 Monge-Ampère equations {For complex Monge-Ampère operators, see 32W20; for parabolic Monge-Ampère equations, see 35K96} 801