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Your search keyword '"Tsung-fang Wu"' showing total 2 results
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2 results on '"Tsung-fang Wu"'

1. Symmetry and concentration behavior of ground state in axially symmetric domains

Author

Tsung-Fang Wu

Subjects
Mathematics, QA1-939
Abstract

We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground-state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground-state solutions.

Published
2004
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2. Existence and Multiplicity of Positive Solutions for Dirichlet Problems in Unbounded Domains

Author

Tsung-Fang Wu

Subjects
Discrete mathematics, Article Subject, lcsh:Mathematics, Applied Mathematics, Dirichlet L-function, Dirichlet's energy, lcsh:QA1-939, Class number formula, Sobolev space, symbols.namesake, Dirichlet eigenvalue, Dirichlet boundary condition, Dirichlet's principle, symbols, Analysis, Dirichlet series, Mathematics
Abstract

We consider the elliptic problem−Δu+u=b(x)|u|p−2u+h(x)inΩ,u∈H01(Ω), where20as|x|→∞andb(x)≥cfor some suitable constantsc∈(0,b∞), andh(x)≡0. Furthermore, we prove that the above elliptic problem has multiple positive solutions if the coefficientb(x)also satisfies the above conditions,h(x)≥0and0<‖h‖H−1<(p−2)(1/(p−1))(p−1)/(p−2)[bsupSp(Ω)]1/(2−p), whereS(Ω)is the best Sobolev constant of subcritical operator inH01(Ω)andbsup=supx∈Ωb(x).

Published
2007
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