Results 61 to 70 of about 1,014 (85)
Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
Advanced Nonlinear Studies, 2018 This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Quasilinear Riccati-Type Equations with Oscillatory and Singular Data
Advanced Nonlinear Studies, 2020 We characterize the existence of solutions to the quasilinear Riccati-type ...
Nguyen Quoc-Hung, Phuc Nguyen Cong
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Computing the first eigenpair for problems with variable exponents [PDF]
arXiv, 2013 We compute the first eigenpair for variable exponent eigenvalue problems. We compare the homogeneous definition of first eigenvalue with previous nonhomogeneous notions in the literature.
arxiv
Quasilinear elliptic systems in divergence form associated to general nonlinearities
Advances in Nonlinear Analysis, 2018 The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and \ {2} is a given ...
Fărcăşeanu Maria
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The Liouville theorems for elliptic equations with nonstandard growth [PDF]
arXiv, 2014 We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples.
arxiv
Advances in Nonlinear AnalysisThis article is devoted to a global Calderón-Zygmund estimate in the framework of Lorentz spaces for the mm-order gradients of weak solution to a higher-order elliptic equation with pp-growth.
Tian Hong, Zheng Shenzhou
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Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems
Advanced Nonlinear Studies, 2019 In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun +2 more
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Positive solutions for a class of quasilinear singular elliptic systems [PDF]
arXiv, 2016 In this paper we establish the existence of two positive solutions for a class of quasilinear singular elliptic systems. The main tools are sub and supersolution method and Leray-Schauder Topological degree.
arxiv