Results 1 to 10 of about 210 (137)
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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Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems [PDF]
Electronic Journal of Differential Equations, 2020 We consider a parametric Neumann problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential term. The reaction term is superlinear but does not satisfy the Ambrosetti-Rabinowitz condition.
Nikolaos S. Papageorgiou +2 more
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Nonlinear nonhomogeneous Neumann eigenvalue problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero.
Pasquale Candito +2 more
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Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters
International Journal of Differential Equations, 2010 The study of multiple solutions for quasilinear elliptic problems under Dirichlet or nonlinear Neumann type boundary conditions has received much attention over the last decades.
Siegfried Carl, Dumitru Motreanu
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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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Existence and Multiplicity of Solutions for Resonant (p,2)-Equations [PDF]
Advanced Nonlinear Studies, 2018 We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S. +2 more
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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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A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
Opuscula Mathematica, 2020 We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete +2 more
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Multiple solutions for semilinear Robin problems with superlinear reaction and no symmetries
Electronic Journal of Differential Equations, 2021 We study a semilinear Robin problem driven by the Laplacian with a parametric superlinear reaction. Using variational tools from the critical point theory with truncation and comparison techniques, critical groups and flow invariance arguments, we show ...
Nikolaos S. Papageorgiou +2 more
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A weighted (p,2)-equation with double resonance
Electronic Journal of Differential Equations, 2023 We consider a Dirichlet problem driven by a weighted (p,2)-Laplacian with a reaction which is resonant both at \(\pm\infty\) and at zero (double resonance).
Zhenhai Liu, Nikolaos S. Papageorgiou
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