Results 31 to 40 of about 8,199,777 (182)
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Radial and non-radial positive solutions to a system with critical growth on Rᴺ [PDF]
, 2017 In this talk, I will look at positive entire solutions to the following system involving the critical Sobolev exponent: -Δuᵢ = ∑ⱼ aᵢⱼ uⱼ^{(N+2)/(N-2)} in Rᴺ, uᵢ > 0 in Rᴺ, uᵢ ∈ D¹²(Rᴺ), where i=1,...,k and N ≥ 3.
Troestler, Christophe
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Positive radial solutions of p-Laplace equations on exterior domains
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongxiang Li, Mei Wei
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Positive radial solutions for quasilinear biharmonic equations
Computers & Mathematics with Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiple Non-radial Solutions for Coupled Schr\"{o}dinger Equations [PDF]
, 2023 The paper deals with the existence of non-radial solutions for an $N$-coupled nonlinear elliptic system. In the repulsive regime with some structure conditions on the coupling and for each symmetric subspace of rotation symmetry, we prove the existence ...
Huang, Xiaopeng +2 more
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Existence of Positive Radial Solutions for Elliptic Systems
Journal of Mathematical Analysis and Applications, 1996 This article is devoted to the study of the equation \(\partial\theta/\partial t=\text{div}({\mathcal R}\nabla p_t)+f\), where \(\theta(t,x)\) is the saturation, \(\mathcal R\) is the matrix \((a_{ij})=(\rho/\mu)\kappa_{ij}\), where the \(n\times n\)-matrix \((\kappa_{ij}(x))\) describes the permeability of the medium, \(\mu\) is the viscosity of the ...
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Journal of Inequalities and Applications, 2021 This paper is concerned with the existence of positive radial solutions of the following resonant elliptic system: { − Δ u = u v + f ( | x | , u ) , 0 < R 1 < | x | < R 2 , x ∈ R N , − Δ v = c g ( u ) − d v , 0 < R 1 < | x | < R 2 , x ∈ R N , ∂ u ∂ n = 0
Ruipeng Chen +3 more
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Non-radial normalized solutions for a nonlinear Schrodinger equation
Electronic Journal of Differential Equations, 2023 This article concerns the existence of multiple non-radial positive solutions of the L2-constrained problem $$\displaylines{-\Delta{u}-Q(\varepsilon x)|u|^{p-2}u=\lambda{u},\quad \text{in }\mathbb{R}^N, \\ \int_{\mathbb{R}^N}|u|^2dx=1,}$$ where \(Q(x)\)
Zhi-Juan Tong +2 more
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Infinitely many positive solutions for a Schrödinger-Poisson system
, 2011 We are interested in the existence of infinitely many positive non-radial solutions of a Schrödinger-Poisson system with a positive radial bounded external potential decaying at infinity. © 2011 Elsevier Ltd.
Vaira G., D'Avenia P., Pomponio A.
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Nonexistence of positive radial solutions for a problem with singular potential
Advances in Nonlinear Analysis, 2014 This article completes the picture in the study of positive radial solutions in the function space 𝒟1,2(ℝN)∩L2(ℝN,|x|-αdx)∩Lp(ℝN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
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