About: Elliptic equations and systems

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Differential complexes ; elliptic complexes Index theory and related fixed point theorems
skos:inScheme	MSC 2010
broader concept	Partial differential equations
narrower concept	Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation Green's functions SchrÃ¶dinger operator Second-order elliptic equations Variational methods for second-order elliptic equations Boundary value problems for second-order elliptic equations Higher-order elliptic equations Variational methods for higher-order elliptic equations Boundary value problems for higher-order elliptic equations First-order elliptic systems Second-order elliptic systems Higher-order elliptic systems Variational methods for elliptic systems Boundary value problems for first-order elliptic systems Boundary value problems for second-order elliptic systems Boundary value problems for higher-order elliptic systems Nonlinear elliptic equations Semilinear elliptic equations Quasilinear elliptic equations Nonlinear boundary value problems for linear elliptic equations Nonlinear boundary value problems for nonlinear elliptic equations Boundary values of solutions to elliptic equations Degenerate elliptic equations Singular elliptic equations Linear elliptic unilateral problems and linear elliptic variational inequalities Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities Systems of elliptic variational inequalities Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian Quasilinear elliptic equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-Laplacian Quasilinear elliptic equations with mean curvature operator Elliptic Monge-AmpÃ¨re equations None of the above, but in MSC2010 section 35Jxx
skos:prefLabel	Elliptic equations and systems 椭圆型方程和方程组
skos:altLabel	Elliptic equations and systems [See also 58J10, 58J20] 椭圆型方程和方程组[参见58J10, 58J20]
http://msc2010.org...0/msc2010#seeAlso	Differential complexes ; elliptic complexes Index theory and related fixed point theorems
skos:closeMatch	from MSC1991 value of: Partial differential equations of elliptic type, [See also { 58Gxx] {58G05, 58G10}} from MSC2000 value of: Partial differential equations of elliptic type [See also \CMPonly{58Jxx]\FullScheme{58J10, 58J20}}
skos:notation	35Jxx
skos:note	See also 58J10, 58J20.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-515.353
skos:semanticRelation	Differential complexes ; elliptic complexes Index theory and related fixed point theorems
is Subject of	Image processing by topological asymptotic analysis
is broader concept of	Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation Green's functions SchrÃ¶dinger operator Second-order elliptic equations Variational methods for second-order elliptic equations Boundary value problems for second-order elliptic equations Higher-order elliptic equations Variational methods for higher-order elliptic equations Boundary value problems for higher-order elliptic equations First-order elliptic systems Second-order elliptic systems Higher-order elliptic systems Variational methods for elliptic systems Boundary value problems for first-order elliptic systems Boundary value problems for second-order elliptic systems Boundary value problems for higher-order elliptic systems Nonlinear elliptic equations Semilinear elliptic equations Quasilinear elliptic equations Nonlinear boundary value problems for linear elliptic equations Nonlinear boundary value problems for nonlinear elliptic equations Boundary values of solutions to elliptic equations Degenerate elliptic equations Singular elliptic equations Linear elliptic unilateral problems and linear elliptic variational inequalities Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities Systems of elliptic variational inequalities Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian Quasilinear elliptic equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-Laplacian Quasilinear elliptic equations with mean curvature operator Elliptic Monge-AmpÃ¨re equations None of the above, but in MSC2010 section 35Jxx
is narrower concept of	Partial differential equations

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