EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS
Keyword(s):
AbstractWe study the following nonlinear Dirichlet boundary value problem: where Ω is a bounded domain in ℝN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × ℝ) is a function satisfying $\displaystyle \underset{|t|\rightarrow 0}{\lim}\frac{g(x, t)}{t}= \infty$ for all x ∈ Ω. Under appropriate assumptions, we prove the existence of infinitely many solutions when g(x, t) is not odd in t.
1987 ◽
Vol 105
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pp. 205-213
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2015 ◽
Vol 58
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pp. 461-469
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2005 ◽
Vol 2005
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pp. 29-86
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pp. 2562-2569
1990 ◽
Vol 148
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pp. 371-377
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