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math.AP2021
Equivalence of solutions for non-homogeneous p(x)-Laplace equations
María Medina, Pablo Ochoa
We establish the equivalence between weak and viscosity solutions for non-homogeneous -Laplace equations with a right-hand side term depending on the spatial variable, the un…
math.AP2021
Interacting helical traveling waves for the Gross-Pitaevskii equation
Juan Dávila, Manuel del Pino, María Medina +1
We consider the 3D Gross-Pitaevskii equation \begin{equation}\nonumber i\partial_t ψ+Δψ+(1-|ψ|^2)ψ=0 \text{ for } ψ:\mathbb{R}\times \mathbb{R}^3 \rightarrow \mathbb{C} \end{equati…