Positive solutions for nonlinear nonhomogeneous parametric equations
DOI:
https://doi.org/10.12775/TMNA.2015.033Keywords
Nonlinear regularity, mountain pass theorem, bifurcation-type theorem, strong comparison principle, nonhomogeneous differential operator, positive solutionsAbstract
We consider a nonlinear parametric Dirichlet problem driven by a nonhomogeneous differential operator which includes as special cases the $p$-Laplacian, the $(p,q)$-Laplacian and the generalized $p$-mean curvature operator. Using variational methods, we prove a bifurcation-type theorem describing the dependence of positive solutions on the parameter.Downloads
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2015-09-01
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PAPAGEORGIOU, Nikolaos S. and SMYRLIS, George. Positive solutions for nonlinear nonhomogeneous parametric equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 1 - 15. [Accessed 28 March 2024]. DOI 10.12775/TMNA.2015.033.
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