1,721,055 research outputs found
Existence and multiplicity results in the presence of symmetry for elliptic equations with critical Sobolev exponent
No full textOn some semilinear elliptic equations with critical nonlinearities and mixed boundary conditions
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Some results for the Gelfand's problem
No full textUnder suitable assumptions on D in R^2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem -\Delta u= le^u in D u=0 on the boundary od D
Asymptotic behaviour of the Kazdan-Warner solution in the annulus
No full textIn this paper, we study the asymptotic behaviour as p ? ? of the radial solution of the problem ??\Delta u = u^p in ,A u>0 in A, u =0 on the bounary of A, where A is an annulus of R^N, N >1
A nondegeneracy result for a nonlinear elliptic equation
No full textLet Ω be a smooth bounded domain of R N with N ≥ 5. In this paper we prove, for ε > 0 small, the nondegeneracy of the solution of the problem {-Δu = U n+2/n-2 + ε u in Omega; u > 0 in Ω, u = 0 on ∂ Ω,under a nondegeneracy condition on the critical points of the Robin function. Our proof uses different techniques with respect to other known papers on this topic. © Birkhäuser Verlag, Basel, 2005
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