Results 11 to 20 of about 317,601 (325)
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems
Electronic Journal of Differential Equations, 2010 In this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological ...
Ali Djellit +2 more
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Bifurcation along curves for the p-Laplacian with radial symmetry
Electronic Journal of Differential Equations, 2012 We study the global structure of the set of radial solutions of a nonlinear Dirichlet eigenvalue problem involving the p-Laplacian with p>2, in the unit ball of $mathbb{R}^N$, $N geq 1$.
Francois Genoud
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New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System
Journal of Mathematics, 2022 This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
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Nonlinear Analysis, 2021 In this paper, we study the solvability and asymptotic properties of a recently derived gyre model of nonlinear elliptic Schrödinger equation arising from the geophysical fluid flows.
Xinguang Zhang +4 more
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Radial positive solutions for (p(x),q(x))-Laplacian systems
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck Blow-up technique.
Mohamed Zitouni +2 more
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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 a class of quasilinear Schrödinger equations in $\mathbb{R}^3$
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is concerned with the following quasilinear Schrödinger equations of the form: \begin{equation*} -\Delta u-u\Delta (u^2)+u=|u|^{p-2}u, \qquad x\in \mathbb{R}^3, \end{equation*} where $p\in\left(2,12\right)$.
Zhongxiang Wang, Gao Jia, Weifeng Hu
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Multiple positive solutions to elliptic boundary blow-up problems [PDF]
, 2016 We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
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Infinitely many radial positive solutions for nonlocal problems with lack of compactness
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation $$ (-\Delta)^su+V(|z|)u=Q(|z|)u^p\quad \text{in} \ \mathbb{R}^{N},$$ where $N\geq 3 ...
Fen Zhou +2 more
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Positive radial solutions involving nonlinearities with zeros
Discrete & Continuous Dynamical Systems - A, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isabel Flores +2 more
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