Results 291 to 300 of about 317,601 (325)

On positive radial solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
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Corrêa, F. J., Goncalves, J. V., Melo, A. L.   +2 more
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Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems

Journal für die reine und angewandte Mathematik (Crelles Journal), 2008
The authors consider the semilinear polyharmonic Dirichlet problem \[ \begin{aligned} (-\Delta)^m u= f(u)\quad &\text{in }B,\\ u= {\partial u\over\partial r}=\cdots= {\partial^{m-1} u\over\partial r^{m-1}}= 0\quad &\text{on }\partial B.\end{aligned} \] Here \(B\) is the unit ball in \(\mathbb{R}^n\), \(r= |x|\) is the radial variable and \(f: [0,\infty)
BERCHIO, ELVISE, GAZZOLA, FILIPPO, T. WETH   +2 more
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Positive solutions, positive radial solutions and uniqueness results for some nonlocal elliptic problems

Journal of Elliptic and Parabolic Equations
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Chahinez Bellamouchi, Elmehdi Zaouche
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Structure of positive radial solutions of Matukuma's equation

Japan Journal of Industrial and Applied Mathematics, 1991
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Radial positive solutions for Neumann problems without growth restrictions

Complex Variables and Elliptic Equations, 2016
AbstractWe study the existence of positive increasing radial solutions for Neumann problems in the unit ballWe do not impose any growth condition on the nonlinearity at infinity. Our result is optimal and extends one of the main results in Bonheure et al. [Ann. Inst. H. Poincare Anal. Non Lineaire. 2012;29:573–588].
Ruyun Ma, Hongliang Gao, Tianlan Chen
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Non radial positive solutions for the Hénon equation with critical growth

Calculus of Variations and Partial Differential Equations, 2005
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Positive radial solutions of quasilinear equations involving supercritical growth

NoDEA : Nonlinear Differential Equations and Applications, 1998
This paper deals with the asymptotic behaviour of the branch of regular positive solutions of the quasilinear eigenvalue problem \[ \Delta_pw= \lambda w^{q-1}+ w^{\alpha-1},\quad w>0\quad\text{in }B,\quad w= 0\quad\text{on }\partial B. \] Here \(\Delta_p\) is the \(p\)-Laplacian, \(B\subset\mathbb{R}^n\) the unit ball, \(1< q\leq pnp/(n- p)\) is a ...
Aguilar, Juan Antonio, Peral, Ireneo
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Existence of positive radial solutions for singular elliptic systems

Applied Mathematics-A Journal of Chinese Universities, 2001
The authors consider the system of \(m\) semilinear singular elliptic equations \(\Delta u+ p(r) f(u)= 0\), \(0< A< r< B\), with one of the following three sets of bondary conditions (\(u= 0\) on \(r= A\) and \(r= B\)) or (\(u= 0\) on \(r= A\) and \({\partial u\over\partial r}= 0\) on \(r= B\)) or (\({\partial u\over\partial r}= 0\) on \(r= A\) and \(u=
Wan, Aying, Jiang, Daqing
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Triple positive radial solutions arising from biharmonic elliptic systems

Journal of Fixed Point Theory and Applications
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Feng, Meiqiang, Lu, Yichen
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Positive radial solutions for quasilinear systems in an annulus

Nonlinear Analysis: Theory, Methods & Applications, 2005
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