The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.
β¦ LIBER β¦
A Necessary and Sufficient Condition for Existence of Large Solutions to Semilinear Elliptic Equations
β Scribed by Alan V. Lair
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 107 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-247X
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## Abstract Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)yβ³(t)]β³+f(t,y(h~1~(t)), y(h~2~(t)), β¦, y(h~n~(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.