On Fredholm alternative for certain quasilinear boundary value problems
Contribution of Svatopluk Fučík
Geometry of the energy functional and the Fredholm alternative for the -Laplacian in higher dimensions.
The -Laplacian – mascot of nonlinear analysis.
Global bifurcation result for the -biharmonic operator.
Weak solutions of degenerated quasilinear elliptic equations of higher order.
On the Fredholm alternative for the Fučík spectrum.
Herglotzův trik a rozklad kotangenty na parciální zlomky
Důkaz Brouwerovy věty metodou teorie grafů
Continuity of Nemyckij's operator in Hölder spaces
Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue
In this paper existence and multiplicity of solutions of the elliptic problem in on , are discussed provided the parameters and are close to the first eigenvalue . The sufficient conditions presented here are more general than those in given by S. Fučík in his aerlier paper.
Ranges of -homogeneous operators and their perturbations
Existence and multiplicity results for some weakly nonlinear elliptic problems at resonance
Jumping nonlinearities and mathematical models of suspension bridge
Solvability of the superlinear elliptic boundary value problem
Existence and multiplicity results for nonlinear noncoercive equations
Solvability of nonlinear problems at resonance
Bounded nonlinear perturbations of second order linear elliptic problems
Remarks on multiple periodic solutions of nonlinear ordinary differential equations
Remarks on nonlinear noncoercive problems with jumping nonlinearities
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