Results 21 to 30 of about 389 (62)

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, Bogdanov L V, Chang J H Chen Y T, Estévez P G, Ibragimov N, J Prada, M L Gandarias, M S Bruzón, Olver P J, P G Estévez, Pavlov M V Chang J H Chen Y T, Stephani H   +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, Motreanu Dumitru, Zeng Shengda   +2 more
doaj   +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

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., Squassina, Marco, Ó, João Marcos do   +2 more
core   +1 more source

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, Rossi Julio D., Spedaletti Juan F.   +2 more
doaj   +1 more source

Existence results for double-phase problems via Morse theory

, 2016
We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.Comment: 11 ...
Perera, Kanishka, Squassina, Marco
core   +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

A note on the implicit function theorem for quasi-linear eigenvalue problems

, 2011
We consider the quasi-linear eigenvalue problem $-\Delta_p u = \lambda g(u)$ subject to Dirichlet boundary conditions on a bounded open set $\Omega$, where $g$ is a locally Lipschitz continuous functions. Imposing no further conditions on $\Omega$ or $g$
Abreu, Amann, Ambrosetti, Arendt, Azizieh, Berger, Biegert, Brézis, Bénilan, Cabré, Chandrasekhar, Cipriani, Crandall, Crandall, Dancer, Daners, Dinca, Drábek, Drábek, Garcia Azorero, Iturriaga, Jacobsen, Kandilakis, Plum, Robin Nittka, Showalter   +25 more
core   +1 more source