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This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
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Martingales (Mathematics). --- Stochastic integrals. --- Stochastic processes --- Martingales (Mathematics)
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Algebraic geometry --- Number theory --- 517.58 --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Fonctions speciales --- Fonctions elliptiques
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Stochastic processes --- Martingales (Mathematics) --- Stochastic integrals --- Martingales (Mathématiques) --- Martingales (Mathématiques) --- Analyse mathématique --- Probabilités
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Mathematical analysis --- Algebraic geometry --- Curves, Elliptic --- Elliptic functions --- 517.58 --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Functions of complex variables --- Integrals, Hyperelliptic --- Elliptic curves --- Curves, Algebraic --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Curves, Elliptic. --- Elliptic functions. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Courbes elliptiques --- Fonctions speciales --- Fonctions elliptiques
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Complex analysis --- Algebraic geometry --- Number theory --- Elliptic functions --- 517.58 --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Functions of complex variables --- Integrals, Hyperelliptic --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Nombres, Théorie des --- Modular functions. --- Fonctions modulaires --- Number theory. --- Nombres, Théories des --- Geometrie algebrique --- Fonctions elliptiques --- Formes automorphes --- Varietes abeliennes
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Functional analysis --- Mathematics --- Mathématiques --- Tables --- 517.58 --- -#WSCH:AAS1 --- sommen --- integralen --- mathieu --- bessel --- euler --- Fourier --- Laplace transformatie --- matrices --- jacobi --- legendre --- Math --- Science --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Basic Sciences. Mathematics --- Tables. --- Numerical Mathematics --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Numerical Mathematics. --- Mathématiques --- #WSCH:AAS1 --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Mathematics - Tables
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Mathematical analysis --- Functions, Theta --- Commutative rings --- Abelian varieties --- 517.58 --- Theta functions --- Rings (Algebra) --- Varieties, Abelian --- Geometry, Algebraic --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Abelian varieties. --- Commutative rings. --- Functions, Theta. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials
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Measure theory. Mathematical integration --- Measure theory --- Functions of real variables --- Integrals, Generalized --- Integrals, Generalized. --- Measure theory. --- Functions of real variables. --- Fonctions d'une variable réelle --- Calcul intégral --- Fonctions d'une variable reelle --- Calcul integral
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