Entropy solutions for nonhomogeneous anisotropic $\varDelta _{\vec{p}(\cdot )}$ problems
Tom 41 / 2014
                    
                    
                        Applicationes Mathematicae 41 (2014), 149-163                    
                                        
                        MSC: Primary 35J25; Secondary 35J92, 35J62, 46E35.                    
                                        
                        DOI: 10.4064/am41-2-3                    
                                    
                                                Streszczenie
We study a class of anisotropic nonlinear elliptic equations with variable exponent $\vec {p}(\cdot )$ growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.