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A quasilinear problem in two parameters depending on the gradient
quasilinear problem parameters
2010/11/19
The existence of positive solutions is considered for the Dirichlet problem \[ \left\{ \begin{array} [c]{rcll}% -\Delta_{p}u & = & \lambda\omega_{1}(x)\left\vert u\right\vert ^{q-2}% u+\beta\omega_{2}...
Coupling Property and Gradient Estimates of Lévy Processes via the Symbol
Coupling Property Gradient Estimates Lévy Processes via the Symbol
2010/11/11
We derive explicitly the coupling property for the transition semigroup of a L\'evy process and gradient estimates for the associated semigroup of transition operators. This is based on the asymptoti...
Regularity for $p$-Harmonic Systems with Gradient Below the Critical Growth
controllable growth p-harmonic systems full regularity
2007/12/11
In this paper, we shall establish that each weak solution of p-harmonic type systems with the gradients below the controllable growth belongs to, H\"older continuity spaces with any H\"older exponent ...