A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

Luisa Fattorusso

Displaying similar documents to “A global differentiability result for solutions of nonlinear elliptic problems with controlled growths”

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Jiaqing Pan (2013)

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This work is concerned with the inverse problem of determining initial value of the Cauchy problem for a nonlinear diffusion process with an additional condition on free boundary. Considering the flow of water through a homogeneous isotropic rigid porous medium, we have such desire: for every given positive constants $K$ and $T_{0}$ , to decide the initial value $u_{0}$ such that the solution $u (x, t)$ satisfies ${sup}_{x \in H_{u} (T_{0})} | x | \geq K$ , where $H_{u} (T_{0}) = {x \in ℝ^{N} : u (x, T_{0}) > 0}$ . In this paper, we first establish a priori estimate $u_{t} \geq C (t) u$ and a more precise Poincaré type...

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Francesco Leonetti, Francesco Siepe (2001)

Commentationes Mathematicae Universitatis Carolinae

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We prove that the higher integrability of the data $f, f_{0}$ improves on the integrability of minimizers $u$ of functionals $ℱ$ , whose model is $\int_{Ω} [{| D u |}^{p} + {(det (D u))}^{2} - 〈 f, D u 〉 + 〈 f_{0}, u 〉] d x,$ where $u : Ω \subset ℝ^{n} \to ℝ^{n}$ and $p \geq 2$ .

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Vasilii V. Kurta (2006)

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