semilinear elliptic equation;
biharmonic operator;
global solution;
critical exponent;
test function method;
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摘要:
The nonexistence of a global solution of the semilinear elliptic equation Δ2u − (C/|x|4)u − |x|σ|u|q = 0 in the exterior of a ball is studied. A sufficient condition for the nonexistence of a global solution is established. The proof is based on the test function method.
机构:
Ludwig Maximilans Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany
CALTECH, Math Dept, Mail Code 253-37,1200 E Calif Blvd, Pasadena, CA 91125 USALudwig Maximilans Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany
Frank, Rupert L.
Koenig, Tobias
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机构:
Ludwig Maximilans Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, GermanyLudwig Maximilans Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany