A semilinear singular Sturm–Liouville equation involving measure data
Hui Wang
Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA
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Abstract
Given and , let be a bounded Radon measure on the interval . We are interested in the equation on with boundary condition . We establish some existence and uniqueness results. We examine the limiting behavior of three approximation schemes. The isolated singularity at 0 is also investigated.
Cite this article
Hui Wang, A semilinear singular Sturm–Liouville equation involving measure data. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 4, pp. 965–1007
DOI 10.1016/J.ANIHPC.2015.03.001