T. Weth

activity

20072026

most citedDual variational methods and nonvanishing for the nonlinear Helmholtz equation

65 citations · 274 across the 61 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.AP2012★ 1 cited

Remainder terms in the fractional Sobolev inequality

Shibing Chen, Rupert L. Frank, Tobias Weth

We show that the fractional Sobolev inequality for the embedding $↪ ˝ L^{\frac{2 N}{N - s}} (R^{N})$ , $s \in (0, N)$ can be sharpened by adding a remainder term proportion…

math.AP2012

Existence and symmetry results for competing variational systems

Hugo Tavares, Tobias Weth

In this paper we consider a class of gradient systems of type $- c_{i} Δ u_{i} + V_{i} (x) u_{i} = P_{u_{i}} (u), u_{1}, ..., u_{k} > 0 in Ω, u_{1} = ... = u_{k} = 0 on \partial Ω,$ in…

math.AP2012★ 5 cited

Nonexistence results for a class of fractional elliptic boundary value problems

Mouhamed Moustapha Fall, Tobias Weth

In this paper we study a class of fractional elliptic problems of the form $$ \Ds u= f(x,u) \quad \textrm{in} Øu=0\quad \textrm{in} \R^N \setminus Ø,$$ where $s \in (0, 1)$ . We prove…