Journals and Conference Proceedings
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Browsing Journals and Conference Proceedings by Subject "(p,q)-Laplacian"
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Item Holder continuity for (p,q)-Laplace equations that degenerate uniformly on part of the domain(Texas State University, Department of Mathematics, 2017-12-14) Huseynov, SarvanIn this article we consider p(x)-Laplace equations with two-phase degree p(x), taking two values p and q, when the boundary of the phase interface is a hyperplane. Assuming that in the part of the domain where qItem Positive solutions for singular (p,q)-Laplacian equations with negative perturbation(Texas State University, Department of Mathematics, 2023-03-06) Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, FrancescaWe consider a nonlinear Dirichlet problem driven by the (p,q) -Laplacian and with a reaction consisting of a singular term plus a negative perturbation. Using regularization of the singular term and truncation and comparison techniques, we show that the problem has a unique positive smooth solution.Item Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian(Texas State University-San Marcos, Department of Mathematics, 2005-02-08) Zhang, Guoqing; Liu, Xiping; Liu, SanyangWe study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari manifold, and so global bifurcation results are obtained. Thanks to Picone's identity, we also prove a nonexistence result.