We prove upper and lower bounds on the eigenvalues (as the H(0)(1)(Omega) norm of the eigenfunction tends to zero) in bifurcation problems for a class of semilinear elliptic equations in bounded domains of R(N). It is shown that these bounds are computable in terms of the eigenvalues of the associated linear equation. (C) 2010 Elsevier Inc. All rights reserved.
Chiappinelli, R. (2010). Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations. APPLIED MATHEMATICS AND COMPUTATION, 216(12), 3772-3777 [10.1016/j.amc.2010.05.050].
Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations
CHIAPPINELLI R.
2010-01-01
Abstract
We prove upper and lower bounds on the eigenvalues (as the H(0)(1)(Omega) norm of the eigenfunction tends to zero) in bifurcation problems for a class of semilinear elliptic equations in bounded domains of R(N). It is shown that these bounds are computable in terms of the eigenvalues of the associated linear equation. (C) 2010 Elsevier Inc. All rights reserved.
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https://hdl.handle.net/11365/6684
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