Results 21 to 30 of about 1,989 (226)
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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Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
, 1972 The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
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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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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
Advanced Nonlinear Studies, 2018 This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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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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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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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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Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
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Existence of Solutions for Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\) with smooth boundary \(\partial\Omega\). The author uses variational methods to deduce sufficient conditions for the existence and multiplicity of weak solutions of the quasilinear Dirichlet problem: \[ -\text{div} \biggl(a \bigl(|\nabla u|^p \bigr)|\nabla u|^{p-2} \nabla u\biggr) =f(x,u) \quad ...
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