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
doaj +6 more sources
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
doaj +5 more sources
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
doaj +4 more sources
Constant sign and nodal solutions for a class of nonlinear Dirichlet problems [PDF]
Journal of Mathematical Analysis and Applications, 2015 We consider a nonlinear Dirichlet problem with a Carathéodory reaction which has arbitrary growth from below. We show that the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal. In the semilinear case (i.e.,
Aizicovici +23 more
core +3 more sources
Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
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
doaj +7 more sources
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.
Aizicovici, S. +2 more
core +4 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +4 more sources
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
openaire +4 more sources