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Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains. (English) Zbl 0912.35014

Summary: We apply the improved moving plane method to prove the symmetry of the solutions of the Dirichlet problem \(-\Delta u+ u= g(u)\) in infinite strip domains with zero boundary condition. \(\copyright\) Academic Press.

MSC:

35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
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References:

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