A note on exponential decay properties of ground states for quasilinear elliptic equations

Li, Yi; Zhao, Chunshan

doi:10.1090/S0002-9939-05-07870-6

A note on exponential decay properties of ground states for quasilinear elliptic equations
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by Yi Li and Chunshan Zhao PDF

Proc. Amer. Math. Soc. 133 (2005), 2005-2012 Request permission

Abstract:

We give an explicit formula for exponential decay properties of ground states for a class of quasilinear elliptic equations in the whole space $\mathbb {R}^{N}$.

References

Shmuel Agmon, Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of $N$-body Schrödinger operators, Mathematical Notes, vol. 29, Princeton University Press, Princeton, NJ; University of Tokyo Press, Tokyo, 1982. MR 745286
B. Gidas, Wei Ming Ni, and L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in $\textbf {R}^{n}$, Mathematical analysis and applications, Part A, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York-London, 1981, pp. 369–402. MR 634248
Yi Li, Asymptotic behavior of positive solutions of equation $\Delta u+K(x)u^p=0$ in $\textbf {R}^n$, J. Differential Equations 95 (1992), no. 2, 304–330. MR 1165425, DOI 10.1016/0022-0396(92)90034-K
Wei-Ming Ni and Izumi Takagi, On the shape of least-energy solutions to a semilinear Neumann problem, Comm. Pure Appl. Math. 44 (1991), no. 7, 819–851. MR 1115095, DOI 10.1002/cpa.3160440705
Wei-Ming Ni and Juncheng Wei, On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems, Comm. Pure Appl. Math. 48 (1995), no. 7, 731–768. MR 1342381, DOI 10.1002/cpa.3160480704
James Serrin and Moxun Tang, Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. J. 49 (2000), no. 3, 897–923. MR 1803216, DOI 10.1512/iumj.2000.49.1893