Results 1 to 10 of about 696 (83)
Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem
Advanced Nonlinear Studies, 2023 In this article, we consider the following Schrödinger-Poisson problem: −ε2Δu+V(y)u+Φ(y)u=∣u∣p−1u,y∈R3,−ΔΦ(y)=u2,y∈R3,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V(y)u+\Phi (y)u={| u| }^{p-1}u,& y\in {{\mathbb{R}}}^{3},\\ -\Delta \Phi (y)={u}^{2},
Chen Lin +3 more
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Singular Finsler Double Phase Problems with Nonlinear Boundary Condition
Advanced Nonlinear Studies, 2021 In this paper, we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary.
Farkas Csaba +2 more
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Scaling limit of the corrector in stochastic homogenization [PDF]
, 2015 In the homogenization of divergence-form equations with random coecients, a central role is played by the corrector. We focus on a discrete space setting and on dimension 3 and more.
J. Mourrat, J. Nolen
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Biharmonic Problems and their Application in Engineering and Medicine
IOP Conference Series: Materials Science and Engineering, 2020 In the present paper we study some properties of solutions of the Steklov and Neumann boundary value problems for the biharmonic equation. For solving these biharmonic problems with application in engineering and medicine, we need to solve boundary value
H. Matevossian, Giorgio Nordo, T. Sako
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional
Advanced Nonlinear Studies, 2023 On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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, 2020 We consider star-shaped tubular domains consisting of a number of non intersecting semi-infinite strips of small thickness that are connected by a central region of diameter proportional to the thickness of the strips.
P. Lions, P. Souganidis
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Nonautonomous Dynamical Systems, 2022 In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type {Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on ∂Ω,\left\{ {\matrix{{Au + g\left( {x,u,\nabla u} \right) = \mu - div\,\phi \left( u \right)} \hfill &
Al-Hawmi Mohammed, Hjiaj Hassane
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On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball
, 2020 In this paper, we study the extremal function for the Trudinger-Moser inequality with vanishing weight in the unit ball B⊂RN (N 3). To be exact, let S be the set of all decreasing radially symmetrical functions and αN = Nω 1/(N−1) N−1 , where ωN−1 is the
Mengjie Zhang
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On the best constant of Hardy-Sobolev Inequalities [PDF]
, 2009 We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality.
Adimurthi +2 more
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