Results 61 to 70 of about 176 (139)
On the logarithm of the minimizing integrand for certain variational problems in two dimensions [PDF]
, 2020 Let be a smooth convex homogeneous function of degree , 1 < < ∞, on ℂ ∖ {0}. We show that if is a minimizer for the functional whose integrand is (∇ ), in a certain subclass of the Sobolev space 1, (Ω), and ∇ ∕ = 0 at ∈ Ω, then in a neighborhood of
Andrew Vogel, John L Lewis, Murat Akman
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Existence and multiplicity of solutions to an ab- stract Cauchy problem for an evolution equation involving fractional dissipation term of Caputo type [PDF]
The aim of this work is to investigate the existence and multiplicity of solutions to a nonhomogenious quasi-linear second order evolution equation involving a fractional dissipation term of Caputo type in abstract framework.
HALLOUZ, Abdelhamid +3 more
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Elliptic equations in divergence form, geometric critical points of solutions and Stekloff eigenfunctions [PDF]
, 1994 . The Stekloff eigenvalue problem (1.1) has a ’ countable number of eigenvalues (Pn}n = 1,2..... each of finite multiplicity. In this paper the authors give an upper estimate, in terms of the integer n, of the multiplicity of Pn, and the number of ...
ALESSANDRINI, GIOVANNI +4 more
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Maximum Principle for Linear Second Order Elliptic Equations in Divergence Form
, 2003 The maximum principle for linear second-order elliptic equations in divergence form is investigated. By means of new formulas for the first eigenvalue necessary and sufficient conditions for the validity of the maximum principle are obtained.
Fabricant, A., Kutev, N., Rangelov, T.
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Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
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Topological degree methods for a Neumann problem governed by nonlinear elliptic equation
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we will use the topological degree, introduced by Berkovits, to prove existence of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic ...
Abbassi Adil +2 more
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On Bobkov-Tanaka type spectrum for the double-phase operator
Advanced Nonlinear StudiesMoving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
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Advances in Nonlinear AnalysisIn this paper, we establish the first- and second-order asymptotic behaviors (expansions) of boundary blow-up solutions to the k-Hessian problem Sk(D2u)=b(x)f(u)C0+∇u2q/2 in Ω,u=+∞ on ∂Ω. ${S}_{k}\left({D}^{2}u\right)=b\left(x\right)f\left(u\right){\left(
Wan Haitao
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A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Advances in Nonlinear Analysis, 2020 In this paper we deal with the elliptic ...
López-Martínez Salvador
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Advanced Nonlinear StudiesIn this paper, we first establish the Talenti comparison principle for anisotropic p-Laplacian equation with Robin boundary conditions. This achievement not only extends classical Talenti comparison result for Laplacian equation with Robin boundary ...
Chen Lu, Yang Yabo
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