Constant sign solutions for double phase problems with superlinear\n nonlinearity

2019/09/22 by Leszek Gasiński, Patrick Winkert, Gasinski, Leszek +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1909.09963

openalex publication_date 2019/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study parametric double phase problems involving superlinear\nnonlinearities with a growth that need not necessarily be polynomial. Based on\ntruncation and comparison methods the existence of two constant sign solutions\nis shown provided the parameter is larger than the first eigenvalue of the\np-Laplacian. As a result of independent interest we prove a priori estimates\nfor solutions for a general class of double phase problems with convection\nterm.\n

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