Results 41 to 50 of about 554 (70)
Determination of AdS Monopole Wall via Minimization
, 2019 In this note we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an AdS monopole wall. We show that the problem has a unique solution. Although the solution cannot be obtained explicitly, we show that it
Cao, Lei, Yang, Yisong
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Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
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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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Advances in Nonlinear AnalysisWe investigate the multiplicity of solutions for a quasilinear scalar field equation with a nonhomogeneous differential operator defined bySu≔−divϕu2+∣∇u∣22∇u+ϕu2+∣∇u∣22u,Su:= -\hspace{0.1em}\text{div}\hspace{0.1em}\left\{\phi \left(\frac{{u}^{2 ...
Qi Wanting, Zhang Xingyong
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A Fibering Map Approach for a Laplacian System With Sign-Changing Weight Function [PDF]
, 2014 We prove the existence of at least two positive solutions for the Laplacian system(E?)On a bounded region by using the Nehari manifold and the fibering maps associated with the Euler functional for the ...
Kazemipoor, Seyyed Sadegh +1 more
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Groundstates of the Choquard equations with a sign-changing self-interaction potential
, 2018 We consider a nonlinear Choquard equation $$ -\Delta u+u= (V * |u|^p )|u|^{p-2}u \qquad \text{in }\mathbb{R}^N, $$ when the self-interaction potential $V$ is unbounded from below.
Battaglia, Luca, Van Schaftingen, Jean
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(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group
Open Mathematics, 2020 The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
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On a class of critical elliptic systems in ℝ4
Advances in Nonlinear Analysis, 2020 In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
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Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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Optimal control for cooperative systems involving fractional Laplace operators
Journal of Inequalities and Applications, 2021 In this work, the elliptic 2 × 2 $2\times 2$ cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then,
H. M. Serag +2 more
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