On the Number of Solutions to Semilinear Boundary Value Problems
Keyword(s):
AbstractWe consider semilinear elliptic problems of the form Δu + g(u) = f(x) with Neumann boundary conditions or Δu+λ1u+g(u) = f(x) with Dirichlet boundary conditions, and we derive conditions on g and f under which an upper bound on the number of solutions can be obtained.
2003 ◽
Vol 199
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pp. 468-507
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1998 ◽
Vol 21
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pp. 321-330
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2020 ◽
Vol 28
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pp. 237-241
Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
2002 ◽
Vol 18
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pp. 261-279
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1992 ◽
Vol 122
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pp. 137-160