Results 11 to 20 of about 382 (61)
Precise homogenization rates for the Fučík spectrum [PDF]
, 2017 Given a bounded domain Ω in RN, N≥ 1 we study the homogenization of the weighted Fučík spectrum with Dirichlet boundary conditions. In the case of periodic weight functions, precise asymptotic rates of the curves are obtained.Fil: Salort, Ariel Martin ...
Salort, Ariel Martin
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The eigenvalue problem for the p‐Laplacian‐like equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 575-586, 2003., 2003 We consider the eigenvalue problem for the following p‐Laplacian‐like equation: −div(a(|Du|p)|Du|p−2Du) = λf(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝn is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for
Zu-Chi Chen, Tao Luo
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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Lyapunov-type Inequalities for Partial Differential Equations [PDF]
, 2013 In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace ...
Juan P. Pinasco, Napoli, Pablo L. De
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Multiplicity solutions of a class fractional Schrödinger equations
Open Mathematics, 2017 In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang +3 more
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A result on the bifurcation from the principal eigenvalue of the Ap‐Laplacian
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 185-195, 1997., 1997 We study the following bifurcation problem in any bounded domain Ω in ℝN: . We prove that the principal eigenvalue λ1 of the eigenvalue problem is a bifurcation point of the problem mentioned above.
P. Drábek, A. Elkhalil, A. Touzani
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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
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On a problem of lower limit in the study of nonresonance
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 227-237, 1997., 1997 We prove the solvability of the Dirichlet problem for every given h, under a condition involving only the asymptotic behaviour of the potential F of f with respect to the first eigenvalue of the p‐Laplacian Δp. More general operators are also considered.
A. Anane, O. Chakrone
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Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 679-688, 1996., 1994 We consider the semilinear elliptic eigenvalue problem The asymptotic behavior of the variational eigenvalues μ = μn(r, α) obtained by Ljusternik‐Schnirelman theory is studied when the domain Ω0 is deformed continuously. We also consider the cases that Vol(Ωr) → 0, ∞ as r → ∞.
Tetsutaro Shibata
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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.
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