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 ...
Silvia Frassu, Antonio Iannizzotto
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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
Journal of Differential Equations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filippakis, Michael E. +1 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 anisotropic eigenvalue problems
PositivityAbstract We consider a nonlinear eigenvalue problem driven by the anisotropic (p, q)-Laplacian. Using variational tools, truncations, comparisons and critical groups, we show that for all small values of the parameter, the problem has extremal constant sign solutions and nodal solutions. These solutions are ordered and vanish in
Öztürk, Eylem +1 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.
Papageorgiou, N. S. +2 more
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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 ...
Motreanu, D. +2 more
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