Junping Shi
Abstract:
We generalize previous uniqueness results on a semilinear elliptic
equation with zero Dirichlet boundary condition and superlinear,
subcritical nonlinearity. Our proof is based on a bifurcation
approach and a Pohozaev type integral identity, which greatly
simplifies the previous arguments.
Published February 28, 2003.
Subject classifications: 35J65, 35J60, 35B32.
Key words: Semilinear elliptic equations, exact multiplicity of solutions.
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Junping Shi Department of Mathematics College of William and Mary Williamsburg, VA 23187, USA and Department of Mathematics Harbin Normal University Harbin, Heilongjiang, China e-mail: shij@math.wm.edu |
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