Results 21 to 30 of about 383 (61)
Exponential decay of dispersion managed solitons for vanishing average dispersion [PDF]
, 2010 We show that any $L^2$ solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of dispersion managed
Dirk Hundertmark +3 more
core +4 more sources
On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2005 We consider a class of nonlinear Dirichlet problems involving the $p(x)$--Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space.
Dinu, Teodora Liliana
core +7 more sources
1+1 spectral problems arising from the Manakov-Santini system
, 2010 This paper deals with the spectral problem of the Manakov Santini system. The point Lie symmetries of the Lax pair have been identified. Several similarity reductions arise from these symmetries. An important benefit of our procedure is that the study of
Bluman G W +11 more
core +1 more source
Continuity results for parametric nonlinear singular Dirichlet problems
Advances in Nonlinear Analysis, 2019 In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru +2 more
doaj +1 more source
One‐sided resonance for quasilinear problems with asymmetric nonlinearities
, 2002 Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley +1 more source
Nonautonomous fractional problems with exponential growth
, 2014 We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity.
Miyagaki, Olimpio H. +2 more
core +1 more source
Baker-Akhiezer Modules on Rational Varieties [PDF]
, 2010 The free Baker-Akhiezer modules on rational varieties obtained from ${\mathbb C}P^{1}\times{\mathbb C}P^{n-1}$ by identification of two hypersurfaces are constructed.
Melnik, Irina A., Mironov, Andrey E.
core +4 more sources
Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions
Advanced Nonlinear Studies, 2018 In this paper, we study an optimal shape design problem for the first eigenvalue of the fractional p-Laplacian with mixed boundary conditions. The optimization variable is the set where the Dirichlet condition is imposed (that is restricted to have ...
Fernández Bonder Julian +2 more
doaj +1 more source
Weyl-type laws for fractional p-eigenvalue problems
, 2014 We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
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Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj +1 more source