Mathematical Sciences Classification System

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

  • 23
    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]
  • 14
    35J15
    Second-order elliptic equations
  • 19
    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
  • 54
    35J60
    Nonlinear elliptic equations
  • 5
    35J61
    Semilinear elliptic equations
  • 4
    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

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