Results 31 to 40 of about 569 (77)
Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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A quasilinear problem with fast growing gradient
, 2012 In this paper we consider the following Dirichlet problem for the $p$-Laplacian in the positive parameters $\lambda$ and $\beta$: [{{array} [c]{rcll}% -\Delta_{p}u & = & \lambda h(x,u)+\beta f(x,u,\nabla u) & \text{in}\Omega u & = & 0 & \text{on}\partial\
Bueno, Hamilton, Ercole, Grey
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Positive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball
, 2014 We establish the existence of positive radial solutions for the boundary value problems { −∆pu = λf(u) in B, u = 0 on ∂B, where ∆pu = div(|∇u|p−2∇u), p ≥ 2, B is the open unit ball R , λ is a positive parameter, and f : (0,∞)→ R is p-superlinear at ∞ and
D. D. Hai
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A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.Comment: 5 ...
Klaus, Colin, Liao, Naian
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Infinitely many solutions for a class of quasilinear elliptic equations with p-Laplacian in RN
Boundary Value Problems, 2013 In this paper, we study the multiplicity of solutions for a class of quasilinear elliptic equations with p-Laplacian in RN. In this case, the functional J is not differentiable. Hence, it is difficult to work under the classical framework of the critical
Gao Jia, Jie Chen, Longzhen Zhang
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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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A-priori bounds for quasilinear problems in critical dimension
Advances in Nonlinear Analysis, 2019 We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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On entire solutions for an indefinite quasilinear system of mixed power
, 2014 We prove non-existence and existence of entire positive solutions for a Schrodinger quasilinear elliptic system. To prove the non-existence, we combine a carefully-chosen test function with some results that we proved concerning the positivity of a kind ...
C. Santos, Mariana Reis
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A remark on an overdetermined problem in Riemannian Geometry
, 2015 Let $(M,g)$ be a Riemannian manifold with a distinguished point $O$ and assume that the geodesic distance $d$ from $O$ is an isoparametric function. Let $\Omega\subset M$ be a bounded domain, with $O \in \Omega$, and consider the problem $\Delta_p u = -1$
A Enciso +20 more
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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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