Results 1 to 10 of about 64,655 (119)
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions [PDF]
Opuscula Mathematica, 2023 In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
Igor Kossowski
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Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain
Axioms, 2023 This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach ...
Xiaoming Wang +3 more
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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Analysis and Computation of Solutions for a Class of Nonlinear SBVPs Arising in Epitaxial Growth
Mathematics, 2021 In this work, the existence and nonexistence of stationary radial solutions to the elliptic partial differential equation arising in the molecular beam epitaxy are studied.
Amit K Verma +2 more
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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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Nonlinear Analysis, 2018 In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball.
Jianxin He +3 more
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Mathematics, 2020 In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings
Shock and Vibration, 2020 This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (
Pyol Kim +6 more
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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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