7 citations · 17 across the 22 of their papers we have counts for
26 papers
Steady states of FitzHugh-Nagumo-type systems with sign-changing coefficients
João Marcos do Ó, Evelina Shamarova, Victor V. Silva
We establish existence and multiplicity results for steady-state solutions of spatially heterogeneous FitzHugh-Nagumo-type systems, extending the existing theory from constant to v…
Singular SPDEs with the Cauchy-Riemann operator on a torus
Zdzisław Brzeźniak, Mikhail Neklyudov, Evelina Shamarova
We prove the existence of solution to the following -valued singular SPDE on the 2D torus : \begin{align} \label{CR} \partial_{\bar z} r = r \times \ove…
Solutions with positive components to quasilinear parabolic systems
Evelina Shamarova
We obtain sufficient conditions for the existence and uniqueness of solutions with non-negative components to general quasilinear parabolic problems \begin{equation*} \partial_t u^…
Touchdown solutions in general MEMS models
Rodrigo Clemente, João Marcos do Ó, Esteban da Silva +1
We study general equations modeling electrostatic MEMS devices \begin{equation} \begin{cases} \label{P} φ\big(r,- u'(r)\big)=λ\int_0^r\frac{f(s)}{g(u(s))}\,\mathrm{d}s, & r\in(0,1)…
Existence, multiplicity and classification results for solutions to -Hessian equations with general weights
João Marcos do Ó, Justino Sánchez, Evelina Shamarova
The aim of this paper is to study negative classical solutions to a -Hessian equation involving a nonlinearity with a general weight \begin{equation} \label{Eq:Ma:0} \tag{} \…
Singular solutions to -Hessian equations with fast-growing nonlinearities
João Marcos do Ó, Evelina Shamarova, Esteban da Silva
We study a class of elliptic problems, involving a -Hessian and a very fast-growing nonlinearity, on a unit ball. We prove the existence of a radial singular solution and obtain…