Constant sign and nodal solutions for parametric (p, 2)-equations [PDF]
Advances in Nonlinear Analysis, 2019 The paper contains multiplicity results for an elliptic equation subject to homogeneous Dirichlet boundary condition, which is driven by the \((p,2)\)-Laplacian operator and involves a real parameter.
Papageorgiou Nikolaos S. +1 more
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Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term [PDF]
Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term [PDF]
Mathematical Modelling and Analysis, 2020 We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood
Nikolaos S. Papageorgiou +2 more
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Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian [PDF]
Journal of Mathematical Analysis and Applications, 2021 17 ...
Antonio Iannizzotto, Silvia Frassu
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Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques [PDF]
Boundary Value Problems, 2009 We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal +3 more
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Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian [PDF]
Journal of Differential Equations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolaos S Papageorgiou +1 more
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Constant sign and nodal solutions for nonlinear elliptic equations with combined nonlinearities [PDF]
Methods and Applications of Analysis, 2015 We study a parametric nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which is ”concave” (i.e., (p − 1)− sublinear) near zero and ”convex” (i.e., (p − 1)− superlinear) near ±1. Using variational methods combined with truncation and comparison techniques, we show that for all small values of the parameter
Staicu Vasile +2 more
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Constant sign and nodal solutions for nonhomogeneous Robin boundary value problems with asymmetric reactions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We study a nonlinear, nonhomogeneous elliptic equation with an asymmetric reaction term depending on a positive parameter, coupled with Robin boundary conditions. Under appropriate hypotheses on both the leading differential operator and the reaction, we
Antonio Iannizzotto +2 more
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Constant sign and nodal solutions for a class of nonlinear Dirichlet problems
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Staicu Vasile, Nikolaos S Papageorgiou
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A unified approach for multiple constant sign and nodal solutions
Advances in Differential Equations, 2007 We consider a nonlinear elliptic equation driven by the $p$-Laplacian with Dirichlet boundary condition. Using variational techniques, combined with the method of upper-lower solutions and suitable truncation arguments, we establish the existence of at least six nontrivial solutions: two positive, two negative and two nodal (sign-changing) solutions ...
V V Motreanu, N S Papageorgiou
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