LAPLACIAN operatorWe prove the existence of a positive solution to the $ (p, q) $ Laplacian problem$ \\begin{equation*} \\left\\{ \\begin{array}{c} -\\Delta _{p}u-\\Delta _{q}u=\\lambda f(u)\\ ext{ in }\\Omega , \\\ u=0\\ ext{ on }\\partial \\Omega , \\e...
Fan X.L.: Solutions for p(x)–Laplacian Dirichlet problems with singular coefficients. J. Math. Anal. Appl. 312, 464–477 (2005) Article MathSciNet MATH Google Scholar Fan X.L., Han X.Y.: Existence and multiplicity of solutions for p(x)–Laplacian equations in \({\mathbb {R}^N...
On a sublinear Robin equations involving $$\\mu (x)$$ -Laplacian with small perturbationdoi:10.1007/s10998-024-00623-zThe present paper deals with the existence of solutions for Robin equations with variable exponents. In particular, we suppose that the nonlinear part in the equation has an ...
p-LaplacianSublinear perturbationIndefinite weightAntimaximum principleMaximum principleHarnack inequalityPicone inequalityExistenceLinking method35J92We investigate qualitative properties of weak solutions of the Dirichlet problem for the equation -Δpu=λm(x)|u|p-2u+ηa(x)|u|q-2u+f(x)documentclass[12...