Results 11 to 20 of about 208 (138)
Boundary Value Problems, 2020 In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
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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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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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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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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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ON THE MINIMAL ENERGY SOLUTION IN A QUASILINEAR ELLIPTIC EQUATION [PDF]
Communications of the Korean Mathematical Society, 2003 Summary: e seek a positive, radially symmetric and energy minimizing solution of an \(m\)-Laplacian equation, \(-div\) \((|\nabla u|^{m-2}|\nabla u) = h(u)\). In the variational sense, the solutions are the critical points of the associated functional called the energy, \(J(v) = \frac{1}{m} \int_{\mathbb{R}^N} |\nabla v|^{m}-\int_{\mathbb{R}^N}H(v) dx,\
Park, Sang Don, Kang, Chul
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Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition
Journal of Inequalities and Applications, 2017 The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.
Ülkü Dinlemez Kantar, Tülay Özden
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On some properties of a system of nonlinear partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
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Symmetry of Ground States of Quasilinear Elliptic Equations [PDF]
Archive for Rational Mechanics and Analysis, 1999 The famous Gidas-Ni-Nirenberg result asserting the radial symmetry of nonnegative solutions of certain semilinear elliptic problems is generalized to quasilinear elliptic equations of the form \[ \nabla\cdot[A(\left|\nabla u\right|)]+f(u)=0\quad \text{on }\mathbb R^n \] subject to the limit condition \(u(x)\to 0\) as \(\left|x\right|\to 0\).
Serrin, James, Zou, Henghui
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An Eigenvalue Problem for a Quasilinear Elliptic Field Equation
Journal of Differential Equations, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BENCI, VIERI +2 more
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