On the linearization of some singular, nonlinear elliptic problems and applications
On the multiplicity of critical points for parameterized functionals on reflexive Banach spaces
Some general multiplicity results for critical points of parameterized functionals on reflexive Banach spaces are established. In particular, one of them improves some aspects of a recent result by B. Ricceri. Applications to boundary value problems are also given.
Operadores Integrales De Hammerstein, Su Espectro Y Aplicaciones.
Remarks on nonlinear noncoercive problems with jumping nonlinearities
Some global results for nonlinear fourth order eigenvalue problems
In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.
Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition
We consider nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.
Some remarks to coincidence theory
Stetigkeit des Spektrums einer Klasse nichtlinearer Operatoren II
Surjectivity results for nonlinear mappings without oddness conditions
Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently studied...
The Dependence of Critical Parameter Bounds on the Monotonicity of a Newton Sequence.
The -Laplacian – mascot of nonlinear analysis.
The semilinear Feng and FMV spectra.
Two examples of the operators with jumping nonlinearities
Unbounded components of solutions for equations of Birkhoff-Kellogg type
Zur Verzweigung bei einfachen Eigenwerten.
Линейная независимость, эквивалентность и минимальность корневых векторов для некоторых нелинейных спектральных задач.
Позитивный спектр псевдовогнутого оператора.
Собственные векторы нелинейных потенциальных операторов
Структура спектра и оценки для собственных значений нелинейных однородных операторов