Results 21 to 30 of about 9,842 (165)
Nonsmooth critical point theory and nonlinear elliptic equations at resonance [PDF]
Kodai Mathematical Journal, 2000 AbstractIn this paper we complete two tasks. First we extend the nonsmooth critical point theory of Chang to the case where the energy functional satisfies only the weaker nonsmooth Cerami condition and we also relax the boundary conditions. Then we study semilinear and quasilinear equations (involving the p-Laplacian).
Kourogenis, Nikolaos C. +1 more
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
, 2006 We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Gasi'nski, Leszek +2 more
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Multiplicity of Solutions for a Modified Schrödinger-Kirchhoff-Type Equation in RN
Discrete Dynamics in Nature and Society, 2015 We study the existence of infinitely many solutions for a class of modified Schrödinger-Kirchhoff-type equations by the dual method and the nonsmooth critical point theory.
Xiumei He
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Boundary Value Problems, 2020 In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this ...
Ziqing Yuan
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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
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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 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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Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles [PDF]
, 2018 We use nonsmooth critical point theory and the theory of geodesics with obstacle to show a multiplicity result about orthogonal geodesic chords in a Riemannian manifold (with boundary) which is homeomorphic to an N-disk. This applies to brake orbits in a
Giambò, Roberto +2 more
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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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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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