Normalized solutions for the double-phase problem with nonlocal reaction
Advances in Nonlinear AnalysisIn this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
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An elliptic equation with an indefinite sublinear boundary condition
Advances in Nonlinear Analysis, 2016 We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
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Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds [PDF]
arXiv, 2014 In this paper we are concerned with a class of elliptic differential inequalities with a potential both on $\erre^m$ and on Riemannian manifolds. In particular, we investigate the effect of the geometry of the underlying manifold and of the behavior of the potential at infinity on nonexistence of nonnegative solutions.
arxiv
On a fully nonlinear k-Hessian system of Lane-Emden type [PDF]
arXivIn this manuscript we prove the existence of solutions to a fully nonlinear system of (degenerate) elliptic equations of Lane-Emden type and discuss a inhomogeneous generalization.
arxiv
On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential [PDF]
arXivFor $N\ge2$ and $1
arxiv
Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. [PDF]
J Math Biol, 2017 Manhart A, Schmeiser C.
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Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth
Advances in Nonlinear AnalysisIn this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: (−Δ+m2)su+V(εx)u=f(u)+u2s*−1inRN,u∈Hs(RN),u>0inRN,\left\{\begin{array}{ll}{\left(-\Delta +{m}^{2})}^{s}u+V\left(\varepsilon x)u=f\left(u)
Ambrosio Vincenzo
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A non-local evolution equation model of cell-cell adhesion in higher dimensional space. [PDF]
J Biol Dyn, 2013 Dyson J, Gourley SA, Webb GF.
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A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity
Open MathematicsThis article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li +4 more
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Solvability of a mathematical model of dissociative adsorption and associative desorption type
Open Mathematics, 2013 Ambrazevičius Algirdas +1 more
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