Results 21 to 30 of about 1,540 (202)
Ground state sign-changing solutions for semilinear Dirichlet problems
Boundary Value Problems, 2018 In the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1 {−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω, $$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in ...
Xiaoyan Lin, Xianhua Tang
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Nonlinear Analysis: Theory, Methods & Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leszek Gasiński +1 more
exaly +3 more sources
Multiple Constant Sign and Nodal Solutions for Superlinear Elliptic Equations
Funkcialaj Ekvacioj, 2009 We consider semilinear elliptic problems with a superlinear right hand side nonlinearity, which however, need not satisfy the Ambrosetti-Rabinowitz condition. Using a combination of variational methods, with Morse theory (critical groups) and truncation techniques, we prove multiplicity theorems providing precise sign information for the solutions.
Kyritsi, Sophia Th. +1 more
openaire +2 more sources
, 2011 The existence of both constant and sign-changing (namely, nodal) solutions to a Neumann boundary-value problem with p-Laplacian and reaction term depending on a positive parameter is established. Proofs make use of sub- super-solution techniques as well as critical point theory.
MARANO, Salvatore Angelo +1 more
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Boundary Value Problems, 2009 We consider a nonlinear elliptic equation driven by the -Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Filippakis MichaelE +3 more
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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
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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
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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
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Multiplicity of 2-nodal solutions the Yamabe equation [PDF]
, 2023 Given any closed Riemannian manifold $(M, g)$, we use the gradient flow method and Sign-Changing Critical Point Theory to prove multiplicity results for 2-nodal solutions of a subcritical Yamabe type equation on $(M, g)$.
DÁvila, Jorge +2 more
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Ground state and nodal solutions for a class of double phase problems [PDF]
, 2020 We consider a double phase problem driven by the sum of the ▫$p$▫-Laplace operator and a weighted ▫$q$▫-Laplacian ...
Rǎdulescu, Vicenţiu +2 more
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