Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
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Concentration behavior of semiclassical solutions for Hamiltonian elliptic system
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear Hamiltonian elliptic system with gradient ...
Zhang Jian +3 more
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Monotonicity formulas for coupled elliptic gradient systems with applications
Advances in Nonlinear Analysis, 2019 Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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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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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
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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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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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Homogenization in elastodynamics with force term depending on time
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 723-728, 2000., 2000 We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time. By technically constructing an approximating sequence, we are able to show the convergence of semigroups and therefore prove the main result that such spongy material can be ...
Ping Wang
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Advances in Nonlinear Analysis, 2020 We study positive solutions to the fractional Lane-Emden ...
Bhakta Mousomi, Nguyen Phuoc-Tai
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Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
Advanced Nonlinear Studies, 2022 The purpose of this article is to establish sharp conditions for the existence of normalized solutions to a class of scalar field equations involving mixed fractional Laplacians with different orders.
Luo Tingjian, Hajaiej Hichem
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