Symmetry of Entire Solutions to the Allen-Cahn Equation
Copyright policy )Symmetry of Entire Solutions to the Allen-Cahn Equation
Abstract In this paper, we shall prove even symmetry of monotone entire solutions to the balanced Allen-Cahn equation with one spatial variable. Related results for the unbalanced Allen- Cahn equation are also discussed.
- University of Connecticut United States
Variational methods for second-order elliptic equations, Hamiltonian identity, Minimal surfaces and optimization, Entire solutions to PDEs, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, entire solution, Nonlinear elliptic equations, Allen-Cahn equation, level set, symmetry
Variational methods for second-order elliptic equations, Hamiltonian identity, Minimal surfaces and optimization, Entire solutions to PDEs, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, entire solution, Nonlinear elliptic equations, Allen-Cahn equation, level set, symmetry
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