Work

Anisotropic (p, q) Equation with Partially Concave Terms

Year: 2024

Type: article

Abstract: We consider a Dirichlet problem driven by the anisotropic (p,q) Laplacian. In the reaction, we have a parametric partially concave term plus a “superlinear” perturbation (convex term) which need not satisfy the Ambrosetti–Rabinowitz condition. Using variational tools, we show that for all small values of the parameter λ>0, the problem has at least two nontrivial smooth solutions.

Source: Symmetry

DOI: 10.3390/sym16091188

Authors: Leszek Gasiński, Gregoris Makrides, Nikolaos S. Papageorgiou

Institutions: Uniwersytet Komisji Edukacji Narodowej w Krakowie, National Technical University of Athens, University of Craiova

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Ministerul Cercetării, Inovării şi Digitalizării