Entire Solution of a Singular Semilinear Elliptic Problem
Copyright policy )Entire Solution of a Singular Semilinear Elliptic Problem
Betrachtet wird die singuläre semilineare elliptische Gleichung \[ \Delta u+ p(x)u^{-\gamma} = 0\quad \text{für} \quad x\in \mathbb{R}^n,\;\gamma>0,\;n\geq 3 \] mit einer homogenen Dirichletschen Randbedingung. Gilt \(p(x)>0\) für \(x\in\mathbb{R}^n\) und \(\int^\infty_0 t \varphi (t)dt0\) auf \(\overline \Omega\) [\textit{A. C. Lazer} und \textit{P. J. McKenna}, Proc. Am. Math. Soc. 111, No. 3, 721-730 (1991; Zbl 0727.35057), \textit{A. L. Edelson}, J. Math. Anal. Appl. 139, No. 2, 523-532 (1989; Zbl 0679.35003); \textit{T. Kusano} und \textit{C. A. Swanson}, Jap. J. Math., New. Ser. 11, 145-155 (1985; Zbl 0585.35034)].
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Applied Mathematics, unique solution, Degenerate elliptic equations, Nonlinear elliptic equations, Analysis
Applied Mathematics, unique solution, Degenerate elliptic equations, Nonlinear elliptic equations, Analysis
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