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Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
"... Abstract We study the Dirichlet problem with mean curvature operator in Minkowski space div ∇v where λ > 0 is a parameter, q > 1, R > 0, μ : [0, ∞) → R is continuous, strictly positive on (0, ∞) and B(R) = {x ∈ R N : x < R}. Using upper and lower solutions and LeraySchauder degree ty ..."
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Abstract We study the Dirichlet problem with mean curvature operator in Minkowski space div ∇v where λ > 0 is a parameter, q > 1, R > 0, μ : [0, ∞) → R is continuous, strictly positive on (0, ∞) and B(R) = {x ∈ R N : x < R}. Using upper and lower solutions and LeraySchauder degree
Infinitely many radial solutions of a mean curvature equation in LorentzMinkowski space
, 2012
"... ..."
Multiple Boundary Peak Solutions For Some Singularly Perturbed Neumann Problems
"... We consider the problem ae " 2 \Deltau \Gamma u + f(u) = 0 in\Omega u ? 0 in\Omega ; @u @ = 0 on @\Omega ; where\Omega is a bounded smooth domain in R N , " ? 0 is a small parameter and f is a superlinear, subcritical nonlinearity. It is known that this equation possesses bound ..."
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Cited by 73 (49 self)
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boundary spike solutions such that the spike concentrates, as " approaches zero, at a critical point of the mean curvature function H(P ); P 2 @ It is also known that this equation has multiple boundary spike solutions at multiple nondegenerate critical points of H(P ) or multiple local maximum
Determination of surfaces in threedimensional Minkowski and Euclidean spaces based on solutions of the sinhLaplace equation
 International Journal of Mathematics and Mathematical Sciences 9
, 2005
"... The relationship between solutions of the sinhLaplace equation and the determination of various kinds of surfaces of constant Gaussian curvature, both positive and negative, will be investigated here. It is shown that when the metric is given in a particular set of coordinates, the Gaussian curvat ..."
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Cited by 2 (0 self)
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The relationship between solutions of the sinhLaplace equation and the determination of various kinds of surfaces of constant Gaussian curvature, both positive and negative, will be investigated here. It is shown that when the metric is given in a particular set of coordinates, the Gaussian
RADIAL FAST DIFFUSION ON THE HYPERBOLIC SPACE
"... Abstract. We consider positive radial solutions to the fast diffusion equation ut = ∆(um) on the hyperbolic space HN for N ≥ 2, m ∈ (ms, 1), ms = N−2N+2. By radial we mean solutions depending only on the geodesic distance r from a given point o ∈ HN. We investigate their fine asymptotics near the ex ..."
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Abstract. We consider positive radial solutions to the fast diffusion equation ut = ∆(um) on the hyperbolic space HN for N ≥ 2, m ∈ (ms, 1), ms = N−2N+2. By radial we mean solutions depending only on the geodesic distance r from a given point o ∈ HN. We investigate their fine asymptotics near
Landau Equation
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
Collapsing threemanifolds under a lower curvature bound
 J. Differential Geom
"... Abstract The purpose of this paper is to completely characterize the topology of threedimensional Riemannian manifolds with a uniform lower bound of sectional curvature which converges to a metric space of lower dimension. Introduction We study the topology of threedimensional Riemannian manifolds ..."
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Cited by 30 (3 self)
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manifolds with a uniform lower bound of sectional curvature converging to a metric space of lower dimension. Given a positive integer n and D > 0, let us consider the set M(n, D) of isometry classes of ndimensional closed Riemannian manifolds M with sectional curvature K ≥ −1 and diameter diam(M ) ≤ D
NMAT On ThreePhase Boundary Motion and the Singular Limit of a VectorValued Ginzburg
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
Electronic Journal of Qualitative Theory of Differential Equations
"... System of singular secondorder differential equations with integral condition on the positive halfline Smaïl Djebali ∗ and Karima Mebarki In this work, we are concerned with the existence and the multiplicity of nontrivial positive solutions for a boundary value problem of a system of secondorder ..."
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order differential equations subject to an integral boundary condition and posed on the positive halfline. The positive nonlinearities depend on the solution and their derivatives and may have space singularities. New existence results of single and multiple solutions are obtained by means of the fixed point index
Results 1  10
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150