Results 41 to 50 of about 554 (72)
A Note on why Enforcing Discrete Maximum Principles by a simple a Posteriori Cutoff is a Good Idea
, 2012 Discrete maximum principles in the approximation of partial differential equations are crucial for the preservation of qualitative properties of physical models. In this work we enforce the discrete maximum principle by performing a simple cutoff.
Kreuzer, Christian
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Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method
Advances in Nonlinear Analysis, 2018 We study the regularity theory of quasi-minimizers of functionals with Lp(⋅)logL{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers ...
Ok Jihoon
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Advanced Nonlinear Studies, 2021 The main purpose of this paper is to establish the existence of ground-state solutions to a class of Schrödinger equations with critical exponential growth involving the nonnegative, possibly degenerate, potential V:
Chen Lu, Lu Guozhen, Zhu Maochun
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Normalized solutions for the double-phase problem with nonlocal reaction
Advances in Nonlinear AnalysisIn this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
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On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables
Advances in Nonlinear Analysis, 2014 We turn back to some pioneering results concerning, in particular, nonlinear potential theory and non-homogeneous boundary value problems for the so-called p-Laplace operator.
Beirão da Veiga Hugo
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On the existence and uniqueness of p-harmonious functions [PDF]
, 2012 We give a self-contained and short proof for the existence, uniqueness and measurability of so called $p$-harmonious functions. The proofs only use elementary analytic tools.
Luiro, Hannes +2 more
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Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations
Advances in Nonlinear AnalysisIn this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
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Advances in Nonlinear Analysis, 2015 In this article, we consider the following quasilinear polyharmonic equation: Δn/mmu = λh(x)|u|q-1u + u|u|pe|u|β in Ω, u = ∇u = ⋯ = ∇m-1u = 0 on ∂Ω, where Ω ⊂ ℝn, n ≥ 2m ≥ 2, is a bounded domain with smooth boundary.
Goyal Sarika, Sreenadh Konijeti
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Fractional differentiability for solutions of the inhomogenous $p$-Laplace system
, 2017 It is shown that if $p \ge 3$ and $u \in W^{1,p}(\Omega,\mathbb{R}^N)$ solves the inhomogenous $p$-Laplace system \[ \operatorname{div} (|\nabla u|^{p-2} \nabla u) = f, \qquad f \in W^{1,p'}(\Omega,\mathbb{R}^N), \] then locally the gradient $\nabla u ...
Miśkiewicz, Michał
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Advanced Nonlinear Studies, 2021 The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria +2 more
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