Results 21 to 30 of about 1,665 (115)
Open Mathematics, 2019 The present study is concerned with the following Schrödinger-Poisson system involving critical nonlocal ...
Shao Liuyang
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On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
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Symmetry and concentration behavior of ground state in axially symmetric domains
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1019-1030, 2004., 2004 We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground‐state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground‐state solutions.
Tsung-Fang Wu
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Multiple solutions for a Kirchhoff-type equation with general nonlinearity
Advances in Nonlinear Analysis, 2018 This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
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A Generalized Version of the Lions-Type Lemma
Annales Mathematicae Silesianae, 2023 In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
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An equality for the curvature function of a simple and closed curve on the plane
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3115-3122, 2003., 2003 We prove an equality for the curvature function of a simple and closed curve on the plane. This equality leads to another proof of the four‐vertex theorem in differential geometry. While examining the regularity assumption on the curve for the equality, we make comments on the relation between the boundary regularity of a Riemann mapping and two ...
Biao Ou
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Noncoercive resonant (p,2)-equations with concave terms
Advances in Nonlinear Analysis, 2018 We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
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Ground states for scalar field equations with anisotropic nonlocal nonlinearities [PDF]
, 2014 We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale ...
Iannizzotto, Antonio +2 more
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, 2014 In this paper, we study the following fourth-order elliptic equations of Kirchhoff type: △2u−(a+b∫R3|∇u|2dx)△u+V(x)u=f(x,u), in R3, u∈H2(R3), where a,b>0 are constants, we have the potential V(x):R3→R and the nonlinearity f(x,u):R3×R→R.
Liping Xu, Haibo Chen
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Minimax theorems on C1 manifolds via Ekeland variational principle
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 757-768, 2003., 2003 We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
Mabel Cuesta
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