Results 21 to 30 of about 391 (63)
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
core +2 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
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
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
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
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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.
core +4 more sources
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
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A shape optimization problem for Steklov eigenvalues in oscillating domains [PDF]
, 2015 In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.Comment: Some typos ...
Bonder, Julián Fernández +1 more
core +3 more sources
, 2007 We study the decay of eigenfunctions of the non self-adjoint matrix operator $\calH = (\begin{smallmatrix} -\Delta +\mu+U & W \W & \Delta -\mu -U \end{smallmatrix})$, for $\mu>0$, corresponding to eigenvalues in the strip ...
Hundertmark, Dirk, Lee, Young-Ran
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