Results 21 to 30 of about 14,416 (203)
Lions-type theorem of the p-Laplacian and applications
Advances in Nonlinear Analysis, 2021 In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
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On a Class of Quasilinear Elliptic Equations
Communications in Mathematical Research, 2023 Summary: We consider a class of quasilinear elliptic boundary problems, including the following Modified Nonlinear Schrödinger Equation as a special case: \[ \begin{cases} \Delta u+ \frac{1}{2} u \Delta (u^2) -V(x) u+|u|^{q -2} u=0\quad &\text{in } \Omega, \\ u=0\quad &\text{on }\partial \Omega, \end{cases} \] where \(\Omega\) is the entire space ...
Hashimi, Sayed Hamid +2 more
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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 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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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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On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
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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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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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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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Some quasilinear elliptic equations involving multiple $p$-Laplacians [PDF]
Indiana University Mathematics Journal, 2018 18 pages, some minor ...
Alessio Pomponio, Tatsuya Watanabe
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