41 citations · 59 across the 9 of their papers we have counts for
9 papers
Qualitative Properties of Solutions of Semilinear Elliptic Systems
Marta Calanchi, Bernhard Ruf
The article explores the qualitative properties of solutions to elliptic equations and systems, focusing particularly on whether solutions retain the symmetry of their domains. Acc…
Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator
Emmanuel Wend-Benedo Zongo, Bernhard Ruf
In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We prove bifur…
Bifurcation into spectral gaps for strongly indefinite Choquard equations
Huxiao Luo, Bernhard Ruf, Cristina Tarsi
We consider the semilinear elliptic equations $$ \left\{ \begin{array}{ll} &-Δu+V(x)u=\left(I_α\ast |u|^p\right)|u|^{p-2}u+λu\quad \hbox{for } x\in\mathbb R^N, \\ &u(x) \to 0 \hbox…
Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators
Emmanuel Wend Benedo Zongo, Bernhard Ruf
In this paper, we analyze an eigenvalue problem for quasi-linear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We show tha…
Non-uniqueness for a critical heat equation in two dimensions with singular data
Norisuke Ioku, Bernhard Ruf, Elide Terraneo
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works nonlinearities with exponential growth of Trudinger-Moser type have been shown to…
Equivalent and attained version of Hardy's inequality in
Daniele Cassani, Bernhard Ruf, Cristina Tarsi
We investigate connections between Hardy's inequality in the whole space and embedding inequalities for Sobolev-Lorentz spaces. In particular, we complete previous r…
On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
Enea Parini, Bernhard Ruf
We consider the problem of finding the optimal exponent in the Moser-Trudinger inequality \[ \sup \left\{\int_Ω\exp{\left(α\,|u|^{\frac{N}{N-s}}\right)}\,\bigg|\,u \in \widetilde{W…
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf +1
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data.…
A sharp Trudinger-Moser type inequality for unbounded domains in
Yuxiang Li, Bernhard Ruf
The Trudinger-Moser inequality states that for functions ( a bounded domain) with one has $\int_Ω(e^{α_n|u|^…