Asymmetric Robin Problems with Indefinite Potential and Concave Terms
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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Case Report: Death penalty versus indefinite imprisonment in Japan: a case note of two court judgments involving autism spectrum disorder and autistic traits [PDF]
The World Psychiatric Association condemns the sentencing to death and execution of individuals with mental illness or intellectual and developmental disabilities.
Hiroko Kashiwagi, Naotsugu Hirabayashi
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Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials [PDF]
This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space.
Wei Chen, Yue Wu
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Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
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On a Robin (p,q)-equation with a logistic reaction [PDF]
We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case).
Nikolaos S. Papageorgiou +2 more
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Pragmatic Characteristics of Indefinite Pronouns in Croatian as a Second Language
This paper deals with some of the pragmatic characteristics of indefinite pronouns, specifically about the potential for expressing a negative attitude or stance by using them.
Sanda Lucija Udier
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Nonlinear singular problems with indefinite potential term [PDF]
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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ON STRONGLY INDEFINITE SCHRÖDINGER EQUATIONS WITH NON-PERIODIC POTENTIAL
Summary: This paper is concerned with the non-periodic superlinear Schrödinger equation \(-\Delta u+V(x)u=f(x, u)\), \(u\in H^1(\mathbb{R}^N)\). Here, the Shrödinger operator \(-\Delta + V\) is strongly indefinite, that is, possesses a infinite dimensional negative space, which leads to more difficulty in verifying the compactness conditions.
Wu, Yue, Chen, Wei
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Resonant Robin problems with indefinite and unbounded potential [PDF]
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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Concave-Convex Problems for the Robin p-Laplacian Plus an Indefinite Potential
We consider nonlinear Robin problems driven by the p-Laplacian plus an indefinite potential. In the reaction, we have the competing effects of a parametric concave (that is, ( p − 1 ) -sublinear) term and of a convex (that is, ( p −
Nikolaos S. Papageorgiou +1 more
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