In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a well-known degree theoretic globalization of the Implicit Function Theorem. Applications to the Liouville-Gelfand problem and a related problem for k-Hessian operators are considered
We develop an integer valued degree theory for quasilinear Fredholm maps. This class of maps is lar...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
Typically, the implicit function theorem can be used to deduce the differentiability of an implicit ...
In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a wel...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
We prove a non-smooth generalization of the global implicit function theorem. More precisely we use ...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
We prove a global version of the implicit function theorem, a global Morse lemma and Rabinowitz -Kra...
The implicit function theorem is one of the most important theorems in analysis and its many variant...
On the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems ...
We prove an abstract Nash–Moser implicit function theorem which, when applied to control and Cauchy ...
We develop an integer valued degree theory for quasilinear Fredholm maps. This class of maps is lar...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
Typically, the implicit function theorem can be used to deduce the differentiability of an implicit ...
In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a wel...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations gove...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
We prove a non-smooth generalization of the global implicit function theorem. More precisely we use ...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
We prove a global version of the implicit function theorem, a global Morse lemma and Rabinowitz -Kra...
The implicit function theorem is one of the most important theorems in analysis and its many variant...
On the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems ...
We prove an abstract Nash–Moser implicit function theorem which, when applied to control and Cauchy ...
We develop an integer valued degree theory for quasilinear Fredholm maps. This class of maps is lar...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
Typically, the implicit function theorem can be used to deduce the differentiability of an implicit ...
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