Results 11 to 20 of about 564 (71)
Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
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Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case
Advances in Nonlinear Analysis, 2015 We study the nonlinear elliptic system of Lane–Emden type -Δu = sgn(v) |v|p-1 in Ω, -Δv = f(x,u) in Ω, u = v = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth ...
Barile Sara, Salvatore Addolorata
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Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1047-1055, 2004., 2004 Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
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Advanced Nonlinear Studies, 2021 The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria +2 more
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A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, Volume 2003, Issue 5, Page 227-241, 2003., 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well‐known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions.
Mario Zuluaga
wiley +1 more source
The shape of charged drops over a solid surface and symmetry-breaking instabilities [PDF]
, 2008 We study the static shape of charged drops of a conducting fluid placed over a solid substrate, surrounded by a gas, and in absence of gravitational forces.
Fontelos, Marco Antonio +1 more
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Critical elliptic systems involving multiple strongly–coupled Hardy–type terms
Advances in Nonlinear Analysis, 2019 In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms.
Kang Dongsheng, Liu Mengru, Xu Liangshun
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Advanced Nonlinear Studies, 2021 We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ2{\mathbb{R}^{2}}, where the intra-component interactions μi{\mu_{i}} and the inter-component interactions βij=βji{\beta_{ij}=\beta_{ji}
Kong Yuzhen, Wang Qingxuan, Zhao Dun
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Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, Volume 7, Issue 3, Page 155-167, 2002., 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system −Δpu = Fu(x, u, v), − Δqv = F v(x, u, v), under conditions involving the first and the ...
Pablo L. de Nàpoli, M. Cristina Mariani
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Advances in Nonlinear Analysis, 2022 This paper is devoted to investigate the existence and multiplicity of the normalized solutions for the following fractional Schrödinger equation: (P)(−Δ)su+λu=μ∣u∣p−2u+∣u∣2s∗−2u,x∈RN,u>0,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}{\left(-\Delta )}^{s}u+\lambda
Li Quanqing, Zou Wenming
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