Multiple positive solutions for a logarithmic Schrödinger–Poisson system with singular nonelinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article, we devote ourselves to investigate the following logarithmic Schrödinger–Poisson systems with singular nonlinearity \begin{equation*} \begin{cases} -\Delta u+\phi u= |u|^{p-2}u\log|u|+\frac{\lambda}{u^\gamma}, &\rm \mathrm{in ...
Linyan Peng +4 more
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Nonlinear Periodic Systems with the p-Laplacian: Existence and Multiplicity Results
Abstract and Applied Analysis, 2007 We study second-order nonlinear periodic systems driven by the vector p-Laplacian with a nonsmooth, locally Lipschitz potential function. Under minimal and natural hypotheses on the potential and using variational methods based on the nonsmooth critical ...
Francesca Papalini
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Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CONTI, MONICA, GAZZOLA, FILIPPO
openaire +4 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the following fractional Kirchhoff type equation \begin{equation*} \begin{cases} \left(a+b\displaystyle\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy\right)(-\Delta)_p^su=|u|^{q-2}u\ln |u|^2+\frac ...
Jun Lei
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Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems
Abstract and Applied Analysis, 2000 We consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points.
Nikolaos C. Kourogenis +1 more
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Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian
Abstract and Applied Analysis, 2012 The existence of periodic solutions for nonautonomous second-order differential inclusion systems with -Laplacian is considered. We get some existence results of periodic solutions for system, a.e. , , by using nonsmooth critical point theory.
Liang Zhang, Peng Zhang
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Periodic solutions for systems with nonsmooth and partially coercive potential [PDF]
, 2006 summary:In this paper we consider nonlinear periodic systems driven by the one-dimensional $p$-Laplacian and having a nonsmooth locally Lipschitz potential.
Filippakis, ME +2 more
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Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Staicu, Vasile +6 more
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Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems [PDF]
, 1991 summary:In this paper we examine nonlinear periodic systems driven by the vectorial $p$-Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity.
Papageorgiou, EH +7 more
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