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Principal Eigenvalues and Anti – Maximum Principle for Some Quasilinear Elliptic Equations on ℝ N
Author(s) -
Stavrakakis Nikos M.,
de Thélin Francois
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200004)212:1<155::aid-mana155>3.0.co;2-4
Subject(s) - mathematics , eigenvalues and eigenvectors , principal (computer security) , maximum principle , principal part , mathematical analysis , pure mathematics , elliptic curve , mathematical physics , mathematical optimization , physics , quantum mechanics , computer science , optimal control , operating system
We improve some previous existence and nonexistence results for positive principal eigenvalues of the problem —Δ p u = λ g ( x )ψ p ( u ), x ∈ ℝ N , lim ‖ x‖ ⇒+∞ u ( x ) = 0. Also we discuss existence, nonexistence and antimaximum principle questions concerning the perturbed problem —Δ p u = λ g ( x )ψ p ( u ) + f ( x ), x ∈ ℝ N .