65 citations · 274 across the 61 of their papers we have counts for
5 papers · 1 filter
The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball
Pedro M. Girão, Tobias Weth
We study extremal functions for a family of Poincaré-Sobolev-type inequalities. These functions minimize, for subcritical or critical , the quotient ${\|\nabla u\|_2}/{\|u…
Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
Sven Jarohs, Tobias Weth
We consider the nonlinear problem \[(P) \;\; I u=f(x,u) \text{ in ,} \;\; u=0 \text{ on }\] in an open bounded set , where …
On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems
Alberto Saldaña, Tobias Weth
We consider a class of nonautonomous parabolic competition-diffusion systems on bounded radial domains under Neumann boundary conditions. We show that, if the initial profiles sati…
Dual variational methods and nonvanishing for the nonlinear Helmholtz equation
Gilles Evequoz, Tobias Weth
We set up a dual variational framework to detect real standing wave solutions of the nonlinear Helmholtz equation …
Existence, unique continuation and symmetry of least energy nodal solutions to sublinear Neumann problems
Enea Parini, Tobias Weth
We consider the sublinear problem \begin {equation*} \left\{\begin{array}{r c l c} -Δu & = &|u|^{q-2}u & \textrm{in }Ω, \\ u_n & = & 0 & \textrm{on }\partialΩ,\end{array}\right. \e…