Results 31 to 40 of about 317,601 (325)
Study on a class of Schrödinger elliptic system involving a nonlinear operator
Nonlinear Analysis, 2020 This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions.
Guotao Wang +3 more
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Classification of positive radial solutions to a weighted biharmonic equation
Communications on Pure & Applied Analysis, 2021 <p style='text-indent:20px;'>In this paper, we consider the weighted fourth order equation</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \Delta(|x|^{-\alpha}\Delta u)+\lambda \text{div}(|x|^{-\alpha-2}\nabla u)+\mu|x|^{-\alpha-4}u = |x|^\beta u^p\quad \text{in} \quad ...
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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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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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Behavior of positive radial solutions for quasilinear elliptic equations [PDF]
Proceedings of the American Mathematical Society, 2000 We establish a necessary and sufficient condition so that positive radial solutions to − div ( A ( | ∇ u | ) ∇ u ) = f ( u ) , in
Garcia Huidobro, M +2 more
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Refined asymptotics for constant scalar curvature metrics with isolated singularities
, 1998 We consider the asymptotic behaviour of positive solutions u of the conformal scalar curvature equation, \Delta u + n(n-2)/4 u^{(n+2)(n-2) = 0, in the neighbourhood of isolated singularities in the standard Euclidean ball.
Korevaar, Nick +3 more
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On a radial positive solution to a nonlocal elliptic equation
Topological Methods in Nonlinear Analysis, 2003 The paper deals with Dirichlet boundary value problem for the nonlinear Poisson equation with nonlocal term \[ - \Delta u = f (u, \int_U g \circ u) \] \[ u| _{\partial U} = 0, \] where \(U\) is assumed to be an annulus or a ball. Existence of solutions is obtained via fixed point theorems for increasing compact operators.
Fijałkowski, Piotr, Przeradzki, Bogdan
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On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems
, 2014 We consider a class of nonautonomous parabolic competition-diffusion systems on bounded radial domains under Neumann boundary conditions. We show that, if the initial profiles satisfy a reflection inequality with respect to a hyperplane, then global ...
Saldaña, Alberto, Weth, Tobias
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Sign-changing bubble-tower solutions to fractional semilinear elliptic problems [PDF]
, 2019 We study the asymptotic and qualitative properties of least energy radial sign-changing solutions to fractional semilinear elliptic problems of the form \[ \begin{cases} (-\Delta)^s u = |u|^{2^*_s-2-\varepsilon}u &\text{in } B_R, \\ u = 0 &\text{in ...
Cora, Gabriele, Iacopetti, Alessandro
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Increasing radial solutions for Neumann problems without growth restrictions
, 2011 We study the existence of positive increasing radial solutions for superlinear Neumann problems in the ball. We do not impose any growth condition on the nonlinearity at infinity and our assumptions allow for interactions with the spectrum.
Amann +17 more
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