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Spectral Analysis of Nonlinear Operators

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Remarks on some quasilinear elliptic equations
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LJUSTERNIK‐SCHNIRELMAN Theory on General Level Sets
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Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound
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The Fredholm Alternative at the First Eigenvalue for the One Dimensionalp-Laplacian
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Ljusternik–Schnirelmann Theorem for the Generalized Laplacian
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On the Number and Structure of Solutions for a Fredholm Alternative with the p-Laplacian
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Nonlinear Fredholm Operators with Noncompact Fibers and Applications to Elliptic Problems on RN
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On the Fredholm Alternative for Nonlinear Homogeneous Operators
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Topological Bifurcation
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Introductory Typical Examples
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Convexity and Extremal Principles
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Ljusternik-Schnirelman Theory and the Existence of Several Eigenvectors
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Boundary Value Problems
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Topological results on Fredholm maps and application to a superlinear differential equation
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The Kronecker Index and the Brouwer Degree
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Commentaries
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A non-linear eigenvalue problem: The shape at equilibrium of a confined plasma
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Regularity properties of deformations with finite energy
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Solvability and properties of solutions of nonlinear elliptic equations
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Higher order nonlinear elliptic equations
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Gest�rte Verzweigung bei Potentialoperatoren
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Bifurkation von Minimalfl�chen und elementare Katastrophen
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Nichtlineare analytische Eigenwertprobleme im Banachraum
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Einstein metrics and complex structures
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Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique II. Seconde partie: cas inhomogène: une inégalité isopérimétrique entre la fréquence fondamentale d'une membrane et l'énergie d'équilibre d'un problème de Poisson
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On the global bifurcation for a class of degenerate equations
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The Lyusternik-Schnirelman theory
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On the construction of Ljusternik-Schnirelmann critical values in banach spaces
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Critical associated metrics on a symplectic manifold
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Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator
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Contributions to the spectral theory for nonlinear operators in Banach spaces
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Spectrum for nonlinear maps and bifurcation in the non differentiable case
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Nonlinear equations with expansive nonlinearities
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Nonlinear noncoercive boundary value problems
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On the finite solvability of Plateau's problem
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Determination de la configuration d’equilibre d’un plasma
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Range of nonlinear perturbations of linear operators with an infinite dimensional kernel
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Determination numerique de la configuration d’equilibre du plasma dans un tokomak
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Bifurcations of Positive and Negative Continua in Quasilinear Elliptic Eigenvalue Problems
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Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems
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An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities
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On the asymptotic behavior of eigenvalues of the radial p-laplacian
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On the Hong–Krahn–Szego inequality for the p-Laplace operator
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On the Fredholm-type theorems and sign properties of solutions for (p, q)-Laplace equations with two parameters
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Perturbation of spectra for a class of 2×2 operator matrices
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Nonlinear Boundary Value Problems for Second Order Differential Inclusions
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Manifold method in the eigenvector theory of nonlinear operators
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Non-existence of positive entire solutions for elliptic inequalities of P-laplacian
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On the antimaximum principle for the p-Laplacian and its sublinear perturbations
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Nonlinear boundary value problems and operators TT∗
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Regularity of weak solutions to elliptic equations of arbitrary order
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Global solutions to semilinear parabolic systems for small data
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Landesman-Lazer condition for nonlinear problems with jumping nonlinearities
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A nonlinear spectral approach to surjectivity in Banach spaces
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A bifurcation theorem for potential operators
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Surjectivity results for compact perturbations of M-accretive operators
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Singularly perturbed ordinary differential equations
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Coincidence degree and solvability of some nonlinear functional equations in normed spaces: a spectral approach
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Generalized periodic solutions of nonlinear telegraph equations
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Boundary value problems for quasilinear second order elliptic equations
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The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
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Nonlinear eigenvalue problems characterized by variational inequalities with applications to the postbuckling analysis of unilaterally-supported plates
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Periodic control problems for a class of nonlinear periodic differential systems
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Some surjectivity theorems for compact perturbations of accretive operators
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Generalization of Fredholm alternative for nonlinear differential operators
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On the convergence of the collocation method for nonlinear boundary integral equations
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Ljusternik–Schnirelman Theory
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A Survey of Bifurcation Theory**This paper was supported in part by the Office of Naval Research under Contract N00014-67-A-0128-0024. Reproduction in whole or in part is permitted for any purpose of the U.S. Government.
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News and Notices. In memoriam Professor Svatopluk Fučík
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Spectral analysis of nonlinear operators
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Docent Svatopluk Fučík has died
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