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On a singular nonlinear elliptic boundary-value problem
Proceedings of the American Mathematical Society · 1991 · Vol. 111(3) · pp. 721–721
Abstract
We consider the singular boundary-value problem Au+p(x)u~7 = 0 in d, u | 9Í2 = 0 , where y > 0 .Under the assumption p(x) > 0 and certain smoothness assumptions, we show that there exists a solution which is smooth on £2 and continuous on Í2 .
Advanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsDifferential Equations and Boundary ProblemsNonlinear systemBoundary value problemMathematicsMathematical analysisValue (mathematics)Singular solutionPhysicsStatistics
Funding
- National Science Foundation
Citations
581
FWCI
4.09
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8
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