Geodesic
Uniqueness Theorems for a Singular Partial Differential Equation
Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 156-163

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A singular partial differential equation which occurs frequently in mathematical physics is given by where is the Laplacian operator on R n of which the generic point is denoted by x = (x1, ... , xn) and s and k are real numbers. The study of solutions of this equation for the case k = 0 was initiated by A. Weinstein [5], who named it ‘Generalized Axially Symmetric Potential Theory'. Numerous references to the literature on this equation can be found in [1; 3; 6]. The analytic theory of equations of the type mentioned above has extensively been treated in [2]. 
Ramankutty, P. Uniqueness Theorems for a Singular Partial Differential Equation. Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 156-163. doi: 10.4153/CJM-1973-014-1
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[1] 1. Colton, D. and Gilbert, R. P., A contribution to the Vekua-Rellich theory of metaharmonic functions, Amer. J. Math. 92 (1970), 525–540. Google Scholar

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[5] 5. Weinstein, A., Generalized axially symmetric potential theory, Bull. Amer. Math. Soc. 59 (1953), 20–38. Google Scholar

[6] 6. Weinstein, A., Singular partial differential equations and their applications, Proceedings of the symposium on fluid dynamics and applied mathematics, University of Maryland, 1961 (Gordon and Breach, New York, 29–49). Google Scholar

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