Results 11 to 20 of about 15,743 (200)
Quasilinear Equations via Elliptic Regularization Method
Advanced Nonlinear Studies, 2013 Abstract In this paper we study a class of quasilinear problems, in particular we deal with multiple sign-changing solutions of quasilinear elliptic equations. We further develop an approach used in our earlier work by exploring elliptic regularization. The method works well in studying multiplicity and nodal property of solutions.
Liu, Jia-Quan +2 more
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Multibump solutions for quasilinear elliptic equations
Journal of Functional Analysis, 2012 The article is concerned with constructing multibump type solution for quasilinear Schrödinger equations in the entire space. They get some extensions of the results of the classical work of \textit{V. Coti Zelati} and \textit{P. H. Rabinowitz} [Commun. Pure Appl. Math. 45, No.
Liu, Jia-Quan +2 more
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
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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Quasilinear elliptic equations with VMO coefficients [PDF]
Transactions of the American Mathematical Society, 1995 Strong solvability and uniqueness in Sobolev space W 2 , n ( Ω ) {W^{2,n}}(\Omega ) are proved for the Dirichlet problem \[ { u =
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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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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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Advances in Nonlinear Analysis, 2017 In this paper, we study a class of quasilinear elliptic equations involving the Sobolev critical ...
Teng Kaimin, Yang Xiaofeng
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CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]
Taiwanese Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Harnack inequality and regularity for degenerate quasilinear elliptic equations [PDF]
, 2009 We prove Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong $A_\infty$ weight.
B. Franchi +20 more
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Quasilinear elliptic Hamilton–Jacobi equations on complete manifolds [PDF]
Comptes Rendus. Mathématique, 2013 Let (Mn,g) be an n-dimensional complete, non-compact and connected Riemannian manifold, with Ricci tensor Riccg and sectional curvature Secg. Assume Riccg⩾(1−n)B2, and either p>2 and Secg(x)=o(dist2(x,a)) when dist2(x,a)→∞ for a∈M, or 1<p<2 and Secg(x)⩽0.
Bidaut-Veron, Marie-Francoise +2 more
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