Titlebook: Contributions to Nonlinear Elliptic Equations and Systems; A Tribute to Djairo Alexandre Nolasco de Carvalho,Bernhard Ruf,Thierry Book 201

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Remarks on the behavior of the best Sobolev constants,We study the function . where . > 1, . is a bounded domain of . . ≥ 2 and . is the critical exponent of the Sobolev immersion ..

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The sub-supersolution method for Kirchhoff systems: applications,In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.

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绅士

https://doi.org/10.1007/978-3-642-58652-1nergy waveguide solution .(., .) = exp(.).(.) with . > 0 is unique for small . and qualitatively behaves like the waveguide solution of NLS. On the contrary, oscillations arise at infinity when . is too large.

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https://doi.org/10.1007/978-3-642-58821-1 result for the .-invariant Palais-Smale sequences of the variational functional associated with this problem, which relates the symmetries of the concentration points to those of the solution to the limit problem that concentrates at those points.

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https://doi.org/10.1007/978-3-642-59006-1 the behavior of the deck. The oscillating modes are determined in full detail. Existence and multiplicity of static equilibria are then obtained under different assumptions on the strength of the buckling load.

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,Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion,nergy waveguide solution .(., .) = exp(.).(.) with . > 0 is unique for small . and qualitatively behaves like the waveguide solution of NLS. On the contrary, oscillations arise at infinity when . is too large.