Y. Il’yasov

activity

20092026

most citedMaximal existence domains of positive solutions for two-parametric systems of elliptic equations

9 citations · 19 across the 8 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AP2016

Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for $N \geq 3$

Jesús Ildefonso Díaz, Jesús Hernández, Yavdat Il'yasov

We prove that flat ground state solutions ( $i . e .$ minimizing the energy and with gradient vanishing on the boundary of the domain) of the Dirichlet problem associated to some semil…

math.AP2016

On critical exponents curve for nonlinear elliptic equations in zero mass case

Yavdat Il'yasov

Semilinear elliptic equations of the form $- Δ u = λ ∣ u ∣^{p - 2} u - ∣ u ∣^{q - 2} u$ in bounded and unbounded domains are considered. In the plane of exponents $p \times q$ , the so-called criti…

Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for N≥3

On critical exponents curve for nonlinear elliptic equations in zero mass case

Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for $N \geq 3$