Results 41 to 50 of about 93 (78)
Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Advances in Nonlinear Analysis, 2020 This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph +2 more
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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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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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Advances in Nonlinear AnalysisIn this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
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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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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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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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