scientific article; zbMATH DE number 3547973
From MaRDI portal
Publication:4122407
zbMath0352.47001MaRDI QIDQ4122407
Antonio Ambrosetti, Giovanni Prodi
Publication date: 1973
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Minimal surfaces and optimization (49Q05) Second-order elliptic equations (35J15) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Holomorphic maps on manifolds (58C10) Derivatives of functions in infinite-dimensional spaces (46G05) Implicit function theorems; global Newton methods on manifolds (58C15) Nonlinear operators and their properties (47Hxx)
Related Items
Global homeomorphism theorem for manifolds and polyhedra ⋮ Periodic control problems for a class of nonlinear periodic differential systems ⋮ An extension to Hadamard global inverse function theorem in the plane ⋮ Shape analyticity and singular perturbations for layer potential operators ⋮ How to get around a simple quadratic fold ⋮ Global inversion of functions: An introduction ⋮ A criterion of invertibility in the large for local diffeomorphisms between Banach spaces ⋮ Sul concetto di biforcazione atipica ⋮ About the existence of solutions of a boundary value problem for a Carathéodory differential system ⋮ A real analyticity result for a nonlinear integral operator ⋮ Global existence of solutions for perturbed differential equations ⋮ Global branches of periodic solutions for forced delay differential equations on compact manifolds ⋮ Using solution sets for solving boundary value problems for ordinary differential equations ⋮ Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole ⋮ Saddle points and multiple solutions of differential equations ⋮ Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach ⋮ Chord techniques and Newton's method for discrete bifurcation problems ⋮ Periodic solutions of a differential delay equation of Rayleigh type ⋮ Positive solutions of some eigenvalue problems in the theory of variational inequalities ⋮ Unnamed Item ⋮ The mathematics of varistors ⋮ Sull'esistenza di autovalori per un problema al contorno non lineare ⋮ An application of singularity theory to nonlinear differentiable mappings between Banach spaces ⋮ Unnamed Item ⋮ Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces ⋮ Sull'esistenza di soluzioni periodiche per certe equazioni ellittiche totalmente non lineari ⋮ Operators with jumping nonlinearities and combinatorics ⋮ A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach ⋮ Normal local controllability of order one ⋮ Bounded solutions to singularly perturbed systems of O. D. E ⋮ Global bifurcation results for nonlinear dynamic equations on time scales ⋮ Observations on global inversion theorems ⋮ On the analyticity of the Cauchy integral in Schauder spaces ⋮ A degree theory for locally compact perturbations of Fredholm maps in Banach spaces ⋮ Diramazioni di soluzioni di equazioni differenziali ordinarie non lineari ⋮ Atypical bifurcation without compactness ⋮ Sharp nonuniqueness results for some nonlinear problems ⋮ Nonlinear problems for systems of differential equations ⋮ Stability results for a class of non-linear parabolic equations ⋮ Diffeomorphisms with Banach space domains ⋮ Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue ⋮ Sulla differenziabilita di un operatore legato a una classe di sistemi differenziali quasi-lineari ⋮ Global stability of equilibria ⋮ The dual variational principle and elliptic problems with discontinuous nonlinearities ⋮ Global univalence and global inversion theorems in Banach spaces ⋮ The wave equation with semilinear Neumann boundary conditions ⋮ Shape analysis of the longitudinal flow along a periodic array of cylinders ⋮ An existence theorem for some nonlinear quasi-elliptic equations ⋮ Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach ⋮ Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density ⋮ Global inversion theorem to unique solvability of Dirichlet problems ⋮ Generic existence of pattern equilibria for a selfpotentiating liquid layer ⋮ Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces ⋮ Analyticity of the maximal solution of an abstract nonlinear parabolic equation ⋮ A vector valued optimization approach to the study of a class of epidemics ⋮ Stabilization of the semilinear wave equation with viscous damping ⋮ Analytic dependence of volume potentials corresponding to parametric families of fundamental solutions
This page was built for publication:
