On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

Communications on Pure and Applied Mathematics - Tập 48 Số 7 - Trang 731-768 - 1995
Wei‐Ming Ni1, Juncheng Wei1
1University of Minnesota

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Tài liệu tham khảo

Adams R., 1975, Sobolev Spaces

10.1512/iumj.1978.27.27050

10.1016/0022-1236(73)90051-7

10.1007/BF00375686

Caffarelli L. A., 1982, Representation formulas for solutions to Δu – u = 0 in ℝ, 249

10.1080/03605309108820811

10.1017/S0308210500031607

10.1007/BF00282324

Gidas B., 1981, Symmetry of positive solutions of nonlinear elliptic equations in ℝ, 369

10.1007/978-3-642-61798-0

Kwong M. K., 1991, Uniqueness of positive solutions of Δ u + f(u) = 0 in an annulus, Differential Integral Equations, 4, 583, 10.57262/die/1372700431

10.1016/0022-0396(88)90147-7

Lions P. L., 1982, Generalized Solutions of Hamilton‐Jacobi Equations

10.1002/cpa.3160440705

10.1215/S0012-7094-93-07004-4

10.1007/BF00380322

Wei J. Locating the blow‐up point of a semilinear Dirichlet problem involving critical Sobolev exponent preprint.