EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ -LAPLACIAN EQUATIONS

SHIBO LIU; SHUJIE LI

doi:10.1112/S0024609303002546

Abstract

Under very general conditions, a proof is given, via Morse theory, of the existence of solutions for asymptotically ‘linear’ $p$-Laplacian equations, where the asymptotic limit may be greater than the second eigenvalue. The existence of nonzero solutions is also considered.

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EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS

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EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS

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