4 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
Compactly Supported Solutions near a Nehari Critical Value
J. I. Dıaz, J. Hernandez, Y. Ilyasov
We study non-negative solutions of the indefinite sublinear Dirichlet problem $$ \left \{\ \begin{array}{ll} -Δu=λu+m(x)|u|^{α-1}u&\quad\hbox{ in },\\ u=0&\quad \hbox{ on $\part…
Exact Rayleigh Reduction for Direct Detection of Turning Bifurcations
Yavdat Il'yasov
We introduce an exact Rayleigh reduction for the direct construction and detection of turning bifurcations in nonlinear parameter-dependent equations. A generalized Rayleigh functi…
Rayleigh quotients of the level set manifolds related to the nonlinear PDE
Yavdat Il'yasov
The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply…
On critical exponents curve for nonlinear elliptic equations in zero mass case
Yavdat Il'yasov
Semilinear elliptic equations of the form in bounded and unbounded domains are considered. In the plane of exponents , the so-called criti…