Results 61 to 70 of about 447 (79)
The Hénon–Lane–Emden System: A Sharp Nonexistence Result
Advanced Nonlinear Studies, 2017 We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
Carioli Andrea, Musina Roberta
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Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems
, 2013 We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities.
Shioji, Naoki, Squassina, Marco
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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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Advances in Nonlinear AnalysisIn this article, we consider the existence and nonexistence of positive solutions for the following critical Neumann problem: −Δpu+λup−1=up*−1+f(x,u),x∈Ω;∣∇u∣p−2∇u⋅ν=up♯−1,x∈∂Ω,\left\{\begin{array}{ll}-{\Delta }_{p}u+\lambda {u}^{p-1}={u}^{{p}^{* }-1}+f ...
Deng Yinbin, Shi Yulin, Xu Liangshun
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On an evolution equation in sub-Finsler geometry
Analysis and Geometry in Metric SpacesWe study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space
Advances in Nonlinear AnalysisIn this article, we study the following stationary Schrödinger equation on hyperbolic space: −ΔHNu+λu=f(u),x∈HN,N≥3,-{\Delta }_{{{\mathbb{H}}}^{N}}u+\lambda u=f\left(u),\hspace{1.0em}x\in {{\mathbb{H}}}^{N},\hspace{1em}N\ge 3, where ΔHN{\Delta }_ ...
Gao Dongmei, Wang Jun, Wang Zhengping
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Multiplicity of k-convex solutions for a singular k-Hessian system
Demonstratio MathematicaIn this article, we study the following nonlinear kk-Hessian system with singular weights Sk1k(σ(D2u1))=λb(∣x∣)f(−u1,−u2),inΩ,Sk1k(σ(D2u2))=λh(∣x∣)g(−u1,−u2),inΩ,u1=u2=0,on∂Ω,\left\{\begin{array}{ll}{S}_{k}^{\frac{1}{k}}(\sigma ({D}^{2}{u}_{1}))=\lambda ...
Yang Zedong, Bai Zhanbing
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Existence of a bound state solution for quasilinear Schrödinger equations
Advances in Nonlinear Analysis, 2017 In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
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Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity
Advanced Nonlinear Studies, 2018 We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
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A singular perturbation result for a class of periodic-parabolic BVPs
Open MathematicsIn this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago +2 more
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