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math.AP2024
Nonexistence results for a degenerate Goursat type Problem
Carlos Alberto Reyes Peña, Olimpio Hiroshi Miyagaki, Rodrigo da Silva Rodrigues
For a generalization of the Gellerstedt operator with Dirichlet boundary conditions in a Tricomi domain. We establish Pohožaev-type identities and prove the nonexistence of nontriv…
math.AP2018
Existence of sign-changing solution for a problem involving the fractional Laplacian with critical growth nonlinearities
Rodrigo de Freitas Gabert, Rodrigo da Silva Rodrigues
We study the existence of least energy sign-changing solution for the fractional equation in a smooth bounded domain of $\mathbb{R}^{N},…