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• W1856242713 startingPage "1889" @default.
• W1856242713 abstract "We investigate the relationship between the decay at infinity of the right-hand side $f$ and solutions $u$ of an equation $Lu=f$ when $L$ is a second order elliptic operator on $mathbb {R}^{N}.$ It is shown that when $L$ is Fredholm, $u$ inherits the type of decay of $f$ (for instance, exponential, or power-like). In particular, the generalized eigenfunctions associated with all the Fredholm eigenvalues of $L,$ isolated or not, decay exponentially. No use is made of spectral theory. The result is next extended when $L$ is replaced by a Fredholm quasilinear operator. Various generalizations to other unbounded domains, higher order operators or elliptic systems are possible and briefly alluded to, but not discussed in detail." @default.
• W1856242713 created "2016-06-24" @default.
• W1856242713 creator A5018713517 @default.
• W1856242713 date "2003-10-06" @default.
• W1856242713 modified "2023-10-18" @default.
• W1856242713 title "Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $mathbb {R}^{N}$" @default.
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• W1856242713 doi "https://doi.org/10.1090/s0002-9947-03-03234-3" @default.
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