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

✍ Scribed by LIU, SHIBO; LI, SHUJIE


Book ID
118272710
Publisher
Oxford University Press
Year
2003
Tongue
English
Weight
123 KB
Volume
36
Category
Article
ISSN
0024-6093

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Existence of multiple weak solutions for
✍ Mieko Tanaka 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 260 KB

We consider the problem of multiple existence of 2 -periodic weak solutions to wave equations u(x, t)= h(x, t, u(x, t))+f (x, t) of space dimension 1, where h(x, t, ) is asymptotically linear in both as → 0 and as | | → ∞. It is shown by variational methods that there exist at least three solutions