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Positive eigenvalue-eigenvector of nonlinear positive map**s
We show that an (eventually) strongly increasing and positively homogeneous map** T defined on a Banach space can be turned into an Edelstein...
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Equivariant nonlinear spectrum
The notions of nonlinear asymptotic spectrum and of nonlinear spectrum at a point are extended to the equivariant context.
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Eigenvalue results for pseudomonotone perturbations of maximal monotone operators
Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X * are locally uniformly convex. Suppose that T : X ⊃ D ( T ) → 2 ...
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Some eigenvalue results for perturbations of maximal monotone operators
We study the solvability of a nonlinear eigenvalue problem for maximal monotone operators under a normalization observation. The investigation is...
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Finding Eigenvalues of Holomorphic Fredholm Operator Pencils Using Boundary Value Problems and Contour Integrals
Investigating the stability of nonlinear waves often leads to linear or nonlinear eigenvalue problems for differential operators on unbounded...
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Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets
The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an...
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Positive solutions for a semipositone fractional boundary value problem with a forcing term
The authors obtain sufficient conditions for the existence of at least one and two positive solutions of a higher order semipositone fractional...
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Measures of weak noncompactness and fixed point theory for 1-set weakly contractive operators on unbounded domains
The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F ( x ) =α
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A New Algorithm for Finding Positive Eigenvectors for a Class of Nonlinear Operators Associated with M-matrices
In this paper we state the sufficient conditions for the existence and uniqueness of positive eigenvectors for a class of nonlinear operators...
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Multiplicity results for a two-point boundary value double eigenvalue problem
The purpose of this note is to prove the existence of three solutions for a two-point boundary value double eigenvalue problem. The approach is fully...
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Spectrum of One-Dimensional p-Laplacian with an Indefinite Integrable Weight
Motivated by extremal problems of weighted Dirichlet or Neumann eigenvalues, we will establish two fundamental results on the dependence of weighted...
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Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index
If L : Y → Y is a bounded linear map on a Banach space Y , the “radius of the essential spectrum” or “essential spectral radius” ρ ( L ) of L is...
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Flows and Critical Points
We use flows and the cohomological index to adapt the method of sandwich pairs to better suit quasilinear elliptic boundary value problems.
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On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays
It is shown that certain transformations of multi-dimensional arrays posses unique positive solutions. These transformations are composed of linear...