1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AP2020★ 1 cited
Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity
Rainer Mandel, Dominic Scheider, Tolga Yesil
We prove new existence results for a Nonlinear Helmholtz equation with sign-changing nonlinearity of the form $$ - Δu - k^{2}u = Q(x)|u|^{p-2}u, \quad u \in W^{2,p}(\mathbb{R}^{N})…
math.AP2020
Fourier-extension estimates for symmetric functions and applications to nonlinear Helmholtz equations
Tobias Weth, Tolga Yesil
We establish weighted -Fourier-extension estimates for -invariant functions defined on the unit sphere , allowing for exponents below…
math.AP2017
Dual ground state solutions for the critical nonlinear Helmholtz equation
Gilles Evéquoz, Tolga Yesil
Using a dual variational approach we obtain nontrivial real-valued solutions of the critical nonlinear Helmholtz equation $$ - Δu - k^{2}u = Q(x)|u|^{2^{\ast} - 2}u, \quad u \in W^…