Eigenvalue problems for the p-Laplacian with indefinite weights
We consider the eigenvalue problem $-Delta_p u=lambda V(x) |u|^{p-2} u, uin W_0^{1,p} (Omega)$ where $p>1$, $Delta_p$ is the p-Laplacian operator, $lambda >0$, $Omega$ is a bounded domain in $mathbb{R}^N$ and $V$ is a given function in $L^s (Omega)$ ($s$
Mabel Cuesta
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Nodal solutions of weighted indefinite problems [PDF]
This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in front of the spectral parameter. Quite astonishingly, the associated high order eigenvalues might not be concave as it is the lowest one.
M. Fencl, J. López-Gómez
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EIGENVALUE HOMOGENISATION PROBLEM WITH INDEFINITE WEIGHTS [PDF]
In this work we study the homogenisation problem for nonlinear elliptic equations involving$p$-Laplacian-type operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues.
Fernandez Bonder, Julian +2 more
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Body donor programs in Australia and New Zealand: Current status and future opportunities. [PDF]
Abstract Body donation is critical to anatomy study in Australia and New Zealand. Annually, more than 10,000 students, anatomists, researchers, and clinicians access tissue donated by local consented donors through university‐based body donation programs. However, little research has been published about their operations.
Jenkin RA, Keay KA.
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Asymmetric elliptic problems with indefinite weights [PDF]
We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with weights involving the laplacian (cf. (1.2) below) or more generally the p -laplacian (cf. (1.3) below).
Gossez, Jean-Pierre +3 more
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Periodic solutions of the Lp-Minkowski problem with indefinite weight
We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation $ u''+u = \frac{h(t)}{u^\rho}, $ which is associated with the planar $ L_p $-Minkowski problem.
Zhibo Cheng, Pedro J. Torres
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Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight [PDF]
Alberto Boscaggin, Guglielmo Feltrin
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Modified moments for indefinite weight functions [PDF]
The problem of generating the recurrence coefficients of orthogonal polynomials from the moments or from modified moments of the weight function is well understood for positive weight distributions. Here we extend this theory and the basic algorithms to the case of an indefinite weight function.
Martin H. Gutknecht, Gene H. Golub
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High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models
We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto +2 more
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Positive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearity [PDF]
We investigate the existence of positive solutions for a class of Minkowski-curvature equations with indefinite weight and nonlinear term having superlinear growth at zero and super-exponential growth at infinity. As an example, for the equation [Formula:
A. Boscaggin +2 more
semanticscholar +1 more source

