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A system of coupled anisotropic operators with gradient-dependent nonlinearities
In this paper, we study a system of two coupled anisotropic elliptic equations involving gradient-dependent nonlinearities and unbounded coefficients. Each equation is governed by a generalized p-Laplacian operator with a coefficient that may depend on the solution itself. The coupling appears both in the source terms and through the gradient of the unknowns.
Ground states of weighted 4D biharmonic equations with exponential growth
Corresponding Author Vicenţiu D. Rădulescu Faculty of Applied Mathematics, AGH University of Kraków, Kraków, Poland Department of Mathematics, University of Craiova, Craiova, Romania Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic School of Mathematics, Zhejiang Normal University, Jinhua, China Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania Correspondence Vicenţiu D.
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