On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
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Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains
Electronic Journal of Differential Equations, 2013 Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
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Solutions to singular quasilinear elliptic equations on bounded domains
Electronic Journal of Differential Equations, 2018 In this article we study quasilinear elliptic equations with a singular operator and at critical Sobolev growth. We prove the existence of positive solutions.
Zhouxin Li, Youjun Wang
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Interface Problems for Quasilinear Elliptic Equations
Journal of Differential Equations, 1999 Let \(\Omega\subset{\mathbb R}^2\) be a polygonal domain whose closure is the union of the closures of finitely many polygonal subdomains \(\Omega^{(k)}\). The author studies the uniformly elliptic Dirichlet problem \[ -D_i[A^{ij}(x,u)D_j]=-D_iF^I\quad \text{on }\Omega, \qquad u|\partial\Omega=0 \] assuming that \(A^{ij}|[\text{cl}(\Omega^{(k)})\times{\
Jinbiao, Wu
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Existence of solutions for some degenerate quasilinear elliptic equations
Le Matematiche, 2008 In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations
Albo Carlos Cavalheiro
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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Compactness methods for Hölder estimates of certain degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
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Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
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A new existence result for some nonlocal problems involving Orlicz spaces and its applications
Boundary Value Problems, 2022 This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
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Existence Results for Quasilinear Degenerated Equations vias Strong Convergence of Truncations [PDF]
, 2020 In this paper, we study the existence of entropy solution for quasilinear elliptic equations of the form, is a non-linear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s.
J Electronic +3 more
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