61 citations · 170 across the 25 of their papers we have counts for
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The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients
Boyan Sirakov, Philippe Souplet
We develop a new, unified approach to the following two classical questions on elliptic PDE: the strong maximum principle for equations with non-Lipschitz nonlinearities, and the a…
Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation
Noriko Mizoguchi, Philippe Souplet
The Cauchy-Dirichlet pbm for the superquadratic viscous Hamilton-Jacobi eqn (VHJ), which has important applications in stochastic control theory, admits a unique, global viscosity…
A Liouville-type theorem for the Lane-Emden equation in a half-space
Louis Dupaigne, Boyan Sirakov, Philippe Souplet
We prove that the Dirichlet problem for the Lane-Emden equation in a half-space has no positive solution which is monotone in the normal direction. As a consequence, this problem d…
Liouville-type theorems for unbounded solutions of elliptic equations in half-spaces
Boyan Sirakov, Philippe Souplet
We prove that the Dirichlet problem for the Lane-Emden equation in a half-space has no positive solutions which grow at most like the distance to the boundary to a power given by t…