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Costa, David G.; Tehrani, Hossein; Thomas, Ralph

Estimates at infinity for positive solutions to a class of \(p\)-Laplacian problems in \(\mathbb R^N\). (English) Zbl 1241.35107

J. Math. Anal. Appl. 391, No. 1, 170-182 (2012).
Summary: We consider a class of logistic-type problems for the \(p\)-Laplacian in the whole space. Using minimization we prove existence of a positive solution and its behavior at infinity. We also consider questions of uniqueness and sharp estimates at infinity.

Cited in 4 Documents

MSC:

35J92 Quasilinear elliptic equations with \(p\)-Laplacian
35J62 Quasilinear elliptic equations
35B09 Positive solutions to PDEs
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

logistic problems in \(\mathbb R^N\); \(p\)-Laplacian; positive solutions; estimates at infinity; minimization methods
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\textit{D. G. Costa} et al., J. Math. Anal. Appl. 391, No. 1, 170--182 (2012; Zbl 1241.35107)
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References:

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