35Jxx Elliptic equations and systems [See also 58J10, 58J20]
 35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
 35J08 Green`s functions
 35J10 SchrĂ¶dinger operator [See also 35Pxx]
 35J15 Secondorder elliptic equations
 35J20 Variational methods for secondorder elliptic equations
 35J25 Boundary value problems for secondorder elliptic equations
 35J30 Higherorder elliptic equations [See also 31A30, 31B30]
 35J35 Variational methods for higherorder elliptic equations
 35J40 Boundary value problems for higherorder elliptic equations
 35J46 Firstorder elliptic systems
 35J47 Secondorder elliptic systems
 35J48 Higherorder elliptic systems
 35J50 Variational methods for elliptic systems
 35J56 Boundary value problems for firstorder elliptic systems

35J57 Boundary value problems for secondorder elliptic systems
(1)
 35J58 Boundary value problems for higherorder elliptic systems
 35J60 Nonlinear elliptic equations
 35J61 Semilinear elliptic equations
 35J62 Quasilinear elliptic equations
 35J65 Nonlinear boundary value problems for linear elliptic equations
 35J66 Nonlinear boundary value problems for nonlinear elliptic equations
 35J67 Boundary values of solutions to elliptic equations
 35J70 Degenerate elliptic equations
 35J75 Singular elliptic equations
 35J86 Linear elliptic unilateral problems and linear elliptic variational inequalities [See also 35R35, 49J40]
 35J87 Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities [See also 35R35, 49J40]
 35J88 Systems of elliptic variational inequalities [See also 35R35, 49J40]
 35J91 Semilinear elliptic equations with Laplacian, biLaplacian or poly Laplacian
 35J92 Quasilinear elliptic equations with pLaplacian
 35J93 Quasilinear elliptic equations with mean curvature operator
 35J96 Elliptic MongeAmpĂ¨re equations
 35J99 None of the above, but in this section