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Integral operators and complete families of solutions for \(\Delta _{p + 2}^2 u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + A\left( {r^2 } \right)\Delta _{p + 2} u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + B(r^2 )u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) = 0\)

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington

    David Colton & R. P. Gilbert

Authors
  1. David Colton
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  2. R. P. Gilbert
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Communicated by A. Erdélyi

This research was supported in part by the Air Force Office of Scientific Research through AF-AFOSR Grant 1206-67.

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Colton, D., Gilbert, R.P. Integral operators and complete families of solutions for \(\Delta _{p + 2}^2 u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + A\left( {r^2 } \right)\Delta _{p + 2} u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + B(r^2 )u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) = 0\) . Arch. Rational Mech. Anal. 43, 62–78 (1971). https://doi.org/10.1007/BF00251546

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  • DOI: https://doi.org/10.1007/BF00251546

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