Titlebook: Developments in Partial Differential Equations and Applications to Mathematical Physics; G. Buttazzo,G. P. Galdi,L. Zanghirati Book 1992 P

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Some Regularity Results for a Nonlinear Elliptic EquationLet us consider the following nonlinear elliptic problem:.where . 1, II C .. is a bounded open set, ...(.) and ..(.) are in suitable Lorentz spaces* and .(., .) is a nonlinear term satisfying the sign condition .(., .). > O.

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Markus Schürks,Dawn C. Buse,Shuu-Jiun Wang height tends to negative infinity, to a solution of the equation which is a graph over the entire base plane with an isolated singularity. This partly settles our previous conjecture, and also provides a new and conceptually preferable proof for existence of such a singular solution. The discussion

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Handbook of Health Behavior Research IItions which blow up uniformly on the boundary. Throughout the paper we shall assume that D is a . domain, i.e. ∂D is compact of class C.. When D is unbounded, we shall say that a large solution is . if it tends to zero at infinity.

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