Y. Il’yasov

activity

20142026

most citedOn branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method

30 citations · 36 across the 11 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.AP2026

On the Minimax Bifurcation Formula

Y. Sh. Il'yasov

We introduce a Rayleigh-quotient minimax method for locating maximal one-sided saddle-node bifurcations in nonlinear equations, including non-variational ones. The method avoids br…

math.AP2026

On the asymptotics of ground states for a boundary value problem for the equation $- ε Δ_{p} u = a ∣ u ∣^{q - 2} u - b ∣ u ∣^{γ - 2} u$

Yavdat Sh. Il'yasov, Elvira I. Turianova

We study a singularly perturbed Dirichlet problem for the $p$ -Laplacian with competing superlinear terms, \[ -\varepsilon Δ_p u = a(x)|u|^{q-2}u - b(x)|u|^{γ-2}u, \qquad u|_{\parti…

On the Minimax Bifurcation Formula

On the asymptotics of ground states for a boundary value problem for the equation −εΔp​u=a∣u∣q−2u−b∣u∣γ−2u

On the asymptotics of ground states for a boundary value problem for the equation $- ε Δ_{p} u = a ∣ u ∣^{q - 2} u - b ∣ u ∣^{γ - 2} u$