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Tornado solutions for semilinear elliptic equations in  : regularity |
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| Authors: | Alexander M Meadows |
| Institution: | Department of Mathematics and Computer Science, St. Mary's College of Maryland, St. Mary's City, Maryland 20686 |
| Abstract: | We give conditions under which bounded solutions to semilinear elliptic equations  on domains of  are continuous despite a possible infinite singularity of  . The conditions do not require a minimization or variational stability property for the solutions. The results are used in a second paper to show regularity for a familiar class of equations. |
| Keywords: | Semilinear elliptic equations regularity theory singular solutions |
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