Results 11 to 20 of about 9,155,817 (192)
Asymmetric Robin Problems with Indefinite Potential and Concave Terms [PDF]
Advanced Nonlinear Studies, 2019 We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically ...
Papageorgiou Nikolaos S. +2 more
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Stabilization of the wave equations with potential and indefinite damping
Journal of Mathematical Analysis and Applications, 2002 In this paper the authors study the energy \({\mathcal E}(t)\) of the wave equation \[ \begin{cases} y_{tt}-\Delta y+\bigl[a(x) +b(x)\bigr]y_t +c(x)y=0, \quad & \text{in }(0,\infty) \times\Omega,\\ y=0,\quad &\text{on }(0,\infty)\times \Gamma,\\ y(0)=y_0,\;y_t(0)= y_1,\quad &\text{in }\Omega, \end{cases} \] where \(\Omega\subset \mathbb{R}^n\) is a ...
Liu, Kangshen, Rao, Bopeng, Zhang, Xu
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Resonant Robin problems with indefinite and unbounded potential [PDF]
Topological Methods in Nonlinear Analysis, 2016 We study a semilinear Robin problem with an indefinite and unbounded potential and a reaction term which asymptotically at $ \pm \infty $ is resonant with respect to any nonprincipal nonnegative eigenvalue. We prove two multiplicity theorems producing three and four nontrivial solutions respectively.
Papageorgiou, Nikolaos S. +1 more
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Nonlinear singular problems with indefinite potential term [PDF]
Analysis and Mathematical Physics, 2019 We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric.
Papageorgiou, Nikolaos S. +2 more
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Nonlinear Neumann problems with indefinite potential and concave terms
Communications on Pure and Applied Analysis, 2015 In this paper, the authors study the following nonlinear parametric Neumann problems \[ \begin{cases} -\mathrm{div} a(Du(z))+\beta (z)|u(z)|^{p-2}u(z)=\lambda|u(z)|^{q-2}u(z)+f(z, u(z))&\text{in } \Omega,\\ \frac{\partial u}{\partial n}=0& \text{on }\partial\Omega,\end{cases}\tag{1} \] where \(\Omega \) is a bounded domain of \(\mathbb R^N\) with a \({\
Hu, Shouchuan, Papageorgiou, Nikolaos S.
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Anisotropic equations with indefinite potential and competing nonlinearities [PDF]
Nonlinear Analysis, 2020 We consider a nonlinear Dirichlet problem driven by a variable exponent $p$-Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and of a convex (superlinear) perturbation (an anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set
Nikolaos S. Papageorgiou +2 more
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Nonlinear resonant problems with an indefinite potential and concave boundary condition [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
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Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign [PDF]
Abstract and Applied Analysis, 2013 We investigate the periodic solutions of second-order difference problem with potential indefinite in sign. We consider the compactness condition of variational functional and local linking at 0 by introducing new number .
Honghua Bin
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Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential [PDF]
Electronic Journal of Differential Equations, 2018 Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information.
Salvatore A. Marano +1 more
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Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition [PDF]
Journal of Optimization Theory and Applications, 2017 We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the
Nikolaos S. Papageorgiou +2 more
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