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The Liouville-Bratu-Gelfand Problem for Radial Operators
Authors:Jon Jacobsen  Klaus Schmitt
Institution:
  • a Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania, 16802, f1jacobsen@math.psu.eduf1
  • b Department of Mathematics, University of Utah, 155 S. 1400 E., Salt Lake City, Utah, 84112, f2schmitt@math.utah.eduf2
  • Abstract:We determine precise existence and multiplicity results for radial solutions of the Liouville-Bratu-Gelfand problem associated with a class of quasilinear radial operators, which includes perturbations of k-Hessian and p-Laplace operators.
    Keywords:Liouville  Bratu  Gelfand  p-Laplacian  k-Hessian  radial solutions  
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