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math.AP2019★ 1 cited
An upper bound for the least energy of a nodal solution to the Yamabe equation on the sphere
Mónica Clapp, Angela Pistoia, Tobias Weth
For each we establish the existence of a nodal solution to the Yamabe problem on the round sphere which satisfies $$\int_{\mathbb{S}^n}|u|^{2^*}dV_…
math.AP2019
A new look at the fractional Poisson problem via the Logarithmic Laplacian
Sven Jarohs, Alberto Saldana, Tobias Weth
We analyze the -dependence of solutions to the family of fractional Poisson problems in , on in an open bounded set…
math.AP2019
Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation
Joel Kübler, Tobias Weth
We study the spectral asymptotics of nodal (i.e., sign-changing) solutions of the problem \begin{equation*} (H) \qquad \qquad \left \{ \begin{aligned} -Δu &=|x|^α|u|^{p-2}u&&\qquad…