Publication Date:
1997-01-01
Description:
We study the existence of nontrivial solutions to the following problem:{u∈W1,N(ℝN),u≥0 and−div(|∇u|N−2∇u)+a(x)|u|N−2u=f(x,u) in ℝN(N≥2),whereais a continuous function which is coercive, i.e.,a(x)→∞ as |x|→∞and the nonlinearityfbehaves likeexp(α|u|N/(N−1))when|u|→∞.
Print ISSN:
1085-3375
Electronic ISSN:
1687-0409
Topics:
Mathematics
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