Results 11 to 20 of about 41,085 (189)
Constant sign and nodal solutions for parametric anisotropic (p, 2) -equations [PDF]
Applicable Analysis, 2021 We consider an anisotropic $(p,2)$-equation, with a parametric and superlinear reaction term. We show that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing).
Nikolaos S. Papageorgiou +2 more
openaire +3 more sources
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
doaj +1 more source
Constant sign and nodal solutions for resonant double phase problems
Annales Fennici Mathematici, 2023 We consider a double phase Dirichlet problem with a reaction which asymptotically as \(x \rightarrow \pm \infty\) can be resonant with respect to the principle eigenvalue \(\hat{\lambda}_{1}>0\) of the Dirichlet weighted \(p\)-Laplacian. Using variational tools, together with truncation and comparison techniques and critical groups, we show that the
Papageorgiou, Nikolaos S. +2 more
openaire +3 more sources
Nodal and constant sign solutions for singular elliptic problems
, 2023 We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal solution. The approach combines sub-supersolutions method and Leray-Schauder topological degree involving perturbation argument.
Motreanu, Dumitru, Moussaoui, Abdelkrim
openaire +2 more sources
Resonant Anisotropic (p,q)-Equations
Mathematics, 2020 We consider an anisotropic Dirichlet problem which is driven by the (p(z),q(z))-Laplacian (that is, the sum of a p(z)-Laplacian and a q(z)-Laplacian), The reaction (source) term, is a Carathéodory function which asymptotically as x±∞ can be resonant with
Leszek Gasiński +1 more
doaj +1 more source
OPTIMUM DESIGN OF A STATICALLY DEFINABLE BEAM WITH LIMITATION ON THE MAXIMUM BEAM DEFLECTION
Авіаційно-космічна техніка та технологія, 2020 Here is solved the optimization problem for the longitudinal depth distribution in the beam with a limitation on the maximum value of deflection. A review of the references is done, and it is shown that the known solutions are either erroneous, because ...
Сергей Сергеевич Куреннов
doaj +1 more source
Sign-changing bubble-tower solutions to fractional semilinear elliptic problems [PDF]
, 2019 We study the asymptotic and qualitative properties of least energy radial sign-changing solutions to fractional semilinear elliptic problems of the form \[ \begin{cases} (-\Delta)^s u = |u|^{2^*_s-2-\varepsilon}u &\text{in } B_R, \\ u = 0 &\text{in ...
Cora, Gabriele, Iacopetti, Alessandro
core +2 more sources
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
doaj +1 more source
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
openaire +2 more sources
Existence and Multiplicity of Solutions for Resonant (p,2)-Equations
Advanced Nonlinear Studies, 2018 We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S. +2 more
doaj +1 more source