In 2002 Mselati proved that every positive solution of the equation ∆u = u2 in a bounded domain of class C4 is the limit of an increasing sequence of moderate solutions. (A solution is called moderate if it is dominated by a harmonic function.) As a part of his proof, he established an upper bound (in terms of the capacity of K) for solutions vanishing off… (More)
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Showing 1-3 of 3 references
Classification et représentation probabiliste des solutions positives de ∆u = u2 dans un domaine
Thése de Doctorat de l’Université Paris
Dynkin, Diffusions, superdiffusions and partial differential equations
American Mathematical Society, Providence, RI,
Polar boundary sets for superdiffusions and removable lateral singularities for nonlinear parabolic PDEs, Comm