1,721,109 research outputs found
Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem
Full text linkWe establish the existence of a nontrivial and nonnegative solution for a double phase Dirichlet problem driven by a (p(z), q(z))-Laplacian operator plus a potential term. Our approach is variational, but the reaction term f need not satisfy the usual in such cases Ambrosetti-Rabinowitz condition
Weak solution for Neumann (p,q)-Laplacian problem on Riemannian manifold
No full textWe prove the existence of a nontrivial solution for a nonlinear (p, q)-Laplacian problem with Neumann boundary condition, on a non compact Riemannian manifold. The idea is to reduce the problem in variational form, which means to consider the critical points of the corresponding Euler-Lagrange functional in an Orlicz-Sobolev space. (C) 2019 Elsevier Inc. All rights reserved
))‐Laplace equations in ℝN without Ambrosetti‐Rabinowitz condition
No full textIn the present work, we consider a (p(x), q(x))-elliptic equation describing the behavior of a double-phase anisotropic problem which has relevance in electrorheological fluid applications. The analysis leads to the existence of weak (nonnegative) solutions in the special case of potential terms with critical frequency and a superlinear reaction term. In order to prove the existence result, we combine critical point theory of mountain pass type with related topological and variational methods. Basically, the approach is variational, but we do not impose any Ambrosetti-Rabinowitz type condition for the superlinearity of the reaction. More specifically, we apply the Euler-Lagrange functional approach to the variational formulation of the above-mentioned model problem. We note that we work in the whole space R^N and so we have to consider non-compact embeddings. This aspect constitutes an additional difficulty in our study
Regularity properties for quasiminimizers of a (p, q)-Dirichlet integral
Full text linkUsing a variational approach we study interior regularity for quasiminimizers of a (p, q)-Dirichlet integral, as well as regularity results up to the boundary, in the setting of a metric space equipped with a doubling measure and supporting a Poincaré inequality. For the interior regularity, we use De Giorgi type conditions to show that quasiminimizers are locally Holder continuous and they satisfy Harnack inequality, the strong maximum principle and Liouville's Theorem. Furthermore, we give a pointwise estimate near a boundary point, as well as a sufficient condition for Holder continuity and a Wiener type regularity condition for continuity up to the boundary. Finally, we consider (p, q)-minimizers and we give an estimate for their oscillation at boundary points
A note on homoclinic solutions of (p,q)-Laplacian difference equations
Full text linkWe prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the (p,q) -Laplace operator. The properties of the nonlinearity ensure that the energy functional, corresponding to the problem, satisfies a mountain pass geometry and a Palais–Smale compactness condition
Mobile apps against food waste: Are consumers willing to use them? A survey research on Italian consumers
Full text linkThis paper is aimed at analyzing the consumers’ willingness to use mobile apps that claim to contribute to mitigating the food waste problem. We study the extent to which such willingness is influenced by three factors related to the consumers’ willingness to use mobile apps in general (perceived usefulness, perceived ease of use, and perceived risks) and three factors related to the consumer behavior against food waste (food neophobia, moral attitude, and knowledge about food conservation). A survey was conducted on 283 Italian consumers. Results show that perceived usefulness and perceived ease of use positively affect the willingness to use mobile apps against food waste, while perceived risks by potential users negatively impact such willingness. However, none of the three consumer-related factors has been proved to be significant. The results of this paper offer managerial implications to developers, related to how to advertise the app and how to improve the app functionality, in order to enhance the consumers’ willingness to us
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