Separable solutions of quasilinear Lane-Emden equations [PDF]
, 2011 For $0 < p-1 < q$ and $\ge=\pm 1$, we prove the existence of solutions of $-\Gd_pu=\ge u^q$ in a cone $C_S$, with vertex 0 and opening $S$, vanishing on $\prt C_S$, under the form $u(x)=|x|^\gb\gw(\frac{x}{|x|})$.
Alessio Porretta +4 more
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Positive periodic solutions and optimal control for a distributed biological model of two interacting species [PDF]
, 2011 The paper deals with the existence of positive periodic solutions to a system of degenerate parabolic equations with delayed nonlocal terms and Dirichlet boundary conditions.
Fragnelli, G., Nistri, P, Papini, Duccio
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High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness
Advances in Nonlinear AnalysisThis article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
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Existence, nonexistence and multiplicity results for some beam equations [PDF]
, 2007 This paper studies some fourth order nonlinear fully equations with a parameter s ∈ R, with two point boundary conditions. These problems model several phenomena, such as, a cantilevered beam with a linear relation between the curvature and the shear ...
Minhós, Feliz Manuel
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, 2016 We study the second order nonlinear differential equation \begin{equation*} u"+ \sum_{i=1}^{m} \alpha_{i} a_{i}(x)g_{i}(u) - \sum_{j=0}^{m+1} \beta_{j} b_{j}(x)k_{j}(u) = 0, \end{equation*} where $\alpha_{i},\beta_{j}>0$, $a_{i}(x), b_{j}(x)$ are non ...
Feltrin, Guglielmo
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Existence and multiplicity of solutions in fourth order BVPs with unbounded nonlinearities [PDF]
, 2013 In this work the authors present some existence, non-existence and location results of the problem composed of a fourth order fully nonlinear equation with a parameter.In this work it is applied an Ambrosetti-Prodi type approach, with some new features ...
Fialho, João, Minhós, Feliz
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Nonlinear Variational Inequalities Depending on a Parameter [PDF]
, 1995 This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral ...
Goeleven, D., Théra, M.
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Nontrivial solutions of quasilinear elliptic equations with natural growth term
, 2017 We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism.
Degiovanni, Marco, Pluda, Alessandra
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A Hartman-Nagumo type condition for a class of contractible domains [PDF]
, 2013 We generalize an existence result on second order systems with a nonlinear term satisfying the so-called Hartman-Nagumo condition. The generalization is based on the use of Gauss second fundamental form and continuation techniques.Fil: Amster, Pablo ...
Amster, Pablo Gustavo +1 more
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Local/global analysis of the stationary solutions of some neural field equations
, 2009 Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts of the brain.
Faugeras, Olivier, Veltz, Romain
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