Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems
نویسندگان
چکیده
منابع مشابه
. A P ] 1 2 Ju n 20 09 EXISTENCE OF SOLUTIONS TO NONLINEAR , SUBCRITICAL HIGHER - ORDER ELLIPTIC DIRICHLET PROBLEMS WOLFGANG REICHEL AND
We consider the 2m-th order elliptic boundary value problem Lu = f(x, u) on a bounded smooth domain Ω ⊂ R with Dirichlet boundary conditions on ∂Ω. The operator L is a uniformly elliptic linear operator of order 2m whose principle part is of the form ( − ∑N i,j=1 aij(x) ∂ ∂xi∂xj )m . We assume that f is superlinear at the origin and satisfies lim s→∞ f(x,s) sq = h(x), lim s→−∞ f(x,s) |s|q = k(x...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2010
ISSN: 0022-0396
DOI: 10.1016/j.jde.2009.09.012