existence results for a class of semilinear elliptic boundary value problems
نویسندگان
چکیده
we consider the semilinear elliptic boundary value problem = ∈∂ω− δ = ∈ωu x xu x f u x x( ) 0;( ) λ ( ( ));where λ > 0 is a parameter, ω is a bounded region in rn with a smooth boundary, and f is asmooth function. we prove, under some additional conditions, the existence of a positive solution for λlarge. we prove that our solution u for λ large is such that = →∞∈ω|| u ||: sup| u(x) |xas λ →∞.also, in the case of n = 1, we use a bifurcation theory to show that the solution is unstable.
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عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 29
شماره 2 2005
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