
ISSN:
1937-1632
eISSN:
1937-1179
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Discrete & Continuous Dynamical Systems - S
April 2018 , Volume 11 , Issue 2
Issue on special session 92: Variational, topological and set-valued methods for nonlinear problems
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We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a
In this paper, a class of nonlinear differential boundary value problems with variable exponent is investigated. The existence of at least one non-zero solution is established, without assuming on the nonlinear term any condition either at zero or at infinity. The approach is developed within the framework of the Orlicz-Sobolev spaces with variable exponent and it is based on a local minimum theorem for differentiable functions.
In this paper, we consider the existence and further qualitative properties of solutions of the Dirichlet problem to quasilinear multi-valued elliptic equations with measures of the form
where
In this paper we survey, complete and refine some recent results concerning the Dirichlet problem for the prescribed anisotropic mean curvature equation
in a bounded Lipschitz domain
We study the positive subharmonic solutions to the second order nonlinear ordinary differential equation
where
A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with $(p, q)$-Laplacian in a bounded domain is performed. Both eigenvalue problems and different types of perturbation terms are briefly discussed. Special attention is paid to possibly coercive, resonant, subcritical, critical, or asymmetric right-hand sides.
Existence and regularity results for quasilinear elliptic equations driven by
For the homogeneous Dirichlet problem involving a system of equations driven by
We study a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential term. The nonlinearity
We prove an Ambrosetti-Prodi type result for a Neumann problem associated to the equation
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