V. Bobkov

activity

20182020

collaborators

3 papers

math.AP2020

Existence and multiplicity results for a class of semilinear elliptic equations

Vladimir Bobkov, Pavel Drabek, Jesus Hernandez

We study the existence and multiplicity of nonnegative solutions, as well as the behaviour of corresponding parameter-dependent branches, to the equation $- Δ u = (1 - u) u^{m} - λ u^{n}$ i…

math.NT2019

On asymptotic behaviour of Dirichlet inverse

Falko Baustian, Vladimir Bobkov

Let $f (n)$ be an arithmetic function with $f (1) \neq = 0$ and let $f^{- 1} (n)$ be its reciprocal with respect to the Dirichlet convolution. We study the asymptotic behaviour of $|f^{-1}…

math.AP2018

On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities

Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov

We show that the elliptic equation with a non-Lipschitz right-hand side, $- Δ u = λ ∣ u ∣^{β - 1} u - ∣ u ∣^{α - 1} u$ with $λ > 0$ and $0 < α < β < 1$ , considered on a smooth star-shaped domain $Ω$ su…