The semilinear Feng and FMV spectra.
The third order spectrum of the p-biharmonic operator with weight
We show that the spectrum of , where , under Navier boundary conditions, contains at least one sequence of eigensurfaces.
Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a complete survey....
Un problema agli autovalori per un sistema di equazioni quasilineari ellittiche
Un problema de valores propios para un sistema parabólico periódico y aplicaciones.
Un résultat de non-existence de solution positive pour une équation elliptique
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpiński gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpiński fractal. The abstract results are illustrated by explicit examples.
Variational methods and linearization tools towards the spectral analysis of the -Laplacian, especially for the Fredholm alternative.
Variational methods for a resonant problem with the -Laplacian in .
Zur Existenz klassischer Lösungen einer elliptischen Differentialgleichung zweiter Ordnung [Book]
Возмущения квазилинейных эллиптических уравнений и фредгольмовы многообразия
Собственные функции краевых задач Дирихле и Неймана на прямоугольнике эллиптического уравнения синус-Гордон
Структура спектра и оценки для собственных значений нелинейных однородных операторов