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Mathematical Sciences Classification System

35Jxx - Elliptic equations and systems
[See also 58J10, 58J20]

• 24
  35J05
  Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
• 4
  35J08
  Green's functions
• 13
  35J10
  Schrödinger operator [See also 35Pxx]
• 15
  35J15
  Second-order elliptic equations
• 21
  35J20
  Variational methods for second-order elliptic equations
• 32
  35J25
  Boundary value problems for second-order elliptic equations
• 6
  35J30
  Higher-order elliptic equations [See also 31A30, 31B30]
• 5
  35J35
  Variational methods for higher-order elliptic equations
• 9
  35J40
  Boundary value problems for higher-order elliptic equations
• 2
  35J45
  General theory of elliptic systems of PDE
• 2
  35J46
  First-order elliptic systems
• 4
  35J47
  Second-order elliptic systems
• 1
  35J48
  Higher-order elliptic systems
• 3
  35J50
  Variational methods for elliptic systems
• 6
  35J55
  Boundary value problems for elliptic systems
• 35J56
  Boundary value problems for first-order elliptic systems
• 4
  35J57
  Boundary value problems for second-order elliptic systems
• 2
  35J58
  Boundary value problems for higher-order elliptic systems
• 55
  35J60
  Nonlinear elliptic equations
• 6
  35J61
  Semilinear elliptic equations
• 5
  35J62
  Quasilinear elliptic equations
• 10
  35J65
  Nonlinear boundary value problems for linear elliptic equations
• 3
  35J66
  Nonlinear boundary value problems for nonlinear elliptic equations
• 1
  35J67
  Boundary values of solutions to elliptic equations
• 17
  35J70
  Degenerate elliptic equations
• 1
  35J75
  Singular elliptic equations
• 6
  35J85
  Unilateral problems and variational inequalities for elliptic PDE
  [See also 35R35, 49J40]
• 1
  35J86
  Linear elliptic unilateral problems and linear elliptic variational inequalities [See also 35R35, 49J40]
• 2
  35J87
  Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities [See also 35R35, 49J40]
• 35J88
  Systems of elliptic variational inequalities [See also 35R35, 49J40]
• 4
  35J91
  Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian
• 3
  35J92
  Quasilinear elliptic equations with $p$-Laplacian
• 2
  35J93
  Quasilinear elliptic equations with mean curvature operator
• 7
  35J96
  Elliptic Monge-Ampère equations
• 3
  35J99
  None of the above, but in this section