We consider a nonlinear elliptic equation driven by the -Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth criti
Agarwal, RP, et al.: Constant sign and nodal solutions for problems with the p-Laplacian and a non-smooth potential using variational techniques. Bound. Value Probl. 2009, Article ID 820237 (2009)Agarwal, RP, et al.: Constant sign and nodal solutions for problems with the p -Laplacian ...
Xie, Z.: Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \({\bf R}^N\) . Proc. Roy. Soc. Edinburgh Sect. A 128, 1069-1097 (1998) Zeidler, E.: Nonlinear functional analysis and its applications I. Fixed-point theorems. Springer, New York 1986 About ...
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Inverse nodal problems for Sturm–Liouville equations with eigenparameter dependent boundary conditions Inverse Problems, 12 (1996), pp. 377-381 View in ScopusGoogle Scholar 3 F. Gesztesy, B. Simon Inverse spectral analysis with partial information on the potential, II. The case of discrete spect...
Over the last few decades, the material point method (MPM) has grown from an easy substitute for the finite element method to a method with unique capabilities of solving problems that are very challenging for the finite element method[1]. Compared with the finite element method, MPM has sign...
small, a set of nontrivial positive solutions whose richness can be related either to the topology of the sublevel sets of a(x) or to the number and/or the type of critical points of a(x). But, working with this kind of approach, it is not difficult to realize that, as the...
Sato, Y., Tanaka, K.: Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells. Trans. Am. Math. Soc. 361, 6205–6253 (2009) Article MATH Google Scholar Solimini, S.: Multiplicity techniques for problems without compactness, stationary partial differen...
In this paper, we study the existence of least-energy nodal (sign-changing) solutions for a class of critical Schrödinger-Poisson system on the Heisenberg group given by {−ΔHu+μϕ|u|q−2u=λf(ξ,u)+|u|2u,inΩ,−ΔHϕ=|u|q,inΩ,u=ϕ=0,on∂Ω, ...
which avoids potential approximation errors in the decoupling process. To validate the accuracy and efficacy of this new NPFEM solid element, numerical simulations of a beam under static and dynamic loads are conducted and benchmarked against the theoretical solutions. Then, dynamic analysis of a rot...