Results 71 to 80 of about 159,057 (193)
A Neumann eigenvalue problem for fully nonlinear operators
, 2010 In this paper we study the asymptotic behavior of the principal eigenvalues associated to the Pucci operator in bounded domain $\Omega$ with Neumann/Robin boundary condition i.e. $\partial_n u=\alpha u$ when $\alpha$ tends to infinity.
Birindelli, I., Patrizi, S.
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Positive solutions and nonlinear multipoint conjugate eigenvalue problems
Electronic Journal of Differential Equations, 1997 Values of $lambda$ are determined for which there exist solutions in a cone of the $n^{th}$ order nonlinear differential equation, $$u^{(n)} = lambda a(t) f(u),,quad 0 < t < 1,,$$ satisfying the multipoint boundary conditions, $$u^{(j)}(a_i) = 0,,quad ...
Paul W. Eloe, Johnny Henderson
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Computing the $\sin_{p}$ function via the inverse power method
, 2010 In this paper, we discuss a new iterative method for computing $\sin_{p}$. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the $p$-Laplacian.
Biezuner, Rodney Josué +2 more
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On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2006 We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
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On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Journal of Function Spaces and Applications, 2013 We determine the principal eigenvalue of the linear problem , , , where and . Moreover, we investigate the existence of positive solutions for the corresponding nonlinear problem.
Dongming Yan
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The fractional Cheeger problem
, 2013 Given an open and bounded set $\Omega\subset\mathbb{R}^N$, we consider the problem of minimizing the ratio between the $s-$perimeter and the $N-$dimensional Lebesgue measure among subsets of $\Omega$.
Brasco, Lorenzo +2 more
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Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem
Electronic Journal of Differential Equations, 2010 We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary ...
Giovanni Franzina +1 more
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Open Physics, 2019 The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
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Global bifurcation result for the p-biharmonic operator
Electronic Journal of Differential Equations, 2001 We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with $p > 1$, and $Omega$ a bounded domain in $mathbb{R}^N$ with smooth boundary, has principal positive eigenvalue $lambda_1$ which is simple and isolated.
Pavel Drabek, Mitsuharu Otani
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Positive Solutions for Nonlinear Eigenvalue Problems
Journal of Mathematical Analysis and Applications, 1997 The authors are concerned with determining values of \(\lambda\) (eigenvalues), for which there exist positive solutions of the boundary value problem \[ (1_\lambda)\quad u''+\lambda a(t)f(u)=0 ...
Henderson, Johnny, Wang, Haiyan
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