Web01. jan 1987. · PDF On Jan 1, 1987, Mei-Chi Shaw published Eigenfunctions of the nonlinear equation $\Delta u+\nu f(x,u)=0$ in ${\bf R}^2$. Find, read and cite all the … Web20. okt 2004. · The Γ-convergence theory shows that under certain conditions the diblock copolymer equation has spot and ring solutions. We determine the asymptotic properties of the critical eigenvalues of these solutions in order to understand their stability. In two dimensions a threshold exists for the stability of the spot solution. It is stable if the …
Variational identities and applications to differential systems
Web{8} S. Pohozaev, Eigenfunctions of the equation Δu + λf (u) = 0, Soviet Math. Dokl. 6 (1965) 1408-1411. {9} R. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, M. Giaquinta (Ed.) in: Topics in Calculus of Variations, Lecture Notes in Mathematics, vol. 1365, Springer, Berlin, 1989. WebOnline ISSN : 1881-1167 Print ISSN : 0025-5645 ISSN-L : 0025-5645 chocolate mint coffee pods
Asymptotic behavior of least energy solutions to a semilinear …
Webis the eigenfunction of the derivative operator, where f0 is a parameter that depends on the boundary conditions. Note that in this case the eigenfunction is itself a function of its associated eigenvalue λ, which can take any real or complex value. In particular, note that for λ = 0 the eigenfunction f ( t) is a constant. Web15. mar 2024. · Finite Morse Index Solutions of a Nonlinear Schrödinger Equation. March 2024. Acta Mathematica Sinica 39 (3):513-522. DOI: 10.1007/s10114-023-1471-9. WebS. I. Pohozaev, Eigenfunctions of the equation Δu + λf (u) = 0, Soviet Math. Dokl. 5 (1965), 1408–1411. Google Scholar W. A. Strauss, Existence of solitary waves in higher … graybar national training conference 2023