Proceedings of the London Mathematical SocietyBartsch, T., Liu, Z. & Weth, T., Nodal Solutions of a p-Laplacian Equation, Proc. London Math. Soc. (2005) 91 (1): 129-152.Bartsch, T., Liu, Z., Weth, T.: Nodal sol
2001, Journal of Differential Equations Polyharmonic boundary value problems: Positivity preserving and nonlinear higher order elliptic equations in bounded domains 2010, Lecture Notes in Mathematics Nodal solutions of a p-Laplacian equation 2005, Proceedings of the London Mathematical Society ...
Bartsch, T., Clapp, M., Weth, T.: Configuration spaces, transfer and 2-nodal solutions of semiclassical nonlinear Schrödinger equation. Math. Ann. 338, 147–185 (2007) Article MathSciNet MATH Google Scholar Bartsch, T., Liu, Z.: On a superlinear elliptic p-Laplacian equation. J. ...
In this context, the Neumann quasilinear equation involving a connective term equation was studied by Moussaoui et al. [20]. Candito et al. [3] obtained nodal solutions for a -Laplacian Neumann system without gradient terms. Neumann systems involving variable exponent double phase operators and ...
They built the existence of at least 2k−1 multi-bump solutions for the equation provided that λ is large enough. For fractional Laplacian with local nonlinearity, there are many papers that considered the existence, multiplicity, properties of solutions such as [3], [5], [6], [7], [...
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 critical point theory together with the method of upper and lower solutions, we prove the existence...
The purpose of this paper is to study the structure of the nodal sets of nontrivial solutions to (2) whereand the fractional Laplacian is defined by This study is driven by the wish to extend the previous theory to the fractional setting emphasizing the possible difference between the two typ...
(sign-changing) solutions for a class of critical Schrdinger-Poisson system on the Heisenberg group given by where \(\Delta _H\) is the Kohn-Laplacian on the first Heisenberg group \({\mathbb {H}}^1\), and \(\Omega \subset {\mathbb {H}}^1\) is a smooth bounded domain, \(\...
The paper is concerned with the existence of nodal radial solutions for the p(x)-Laplacian equation [GRAPHICS] It is proved that for any given nonnegative integer k, the problem has a pair of solutions which has exactly k nodes when a, p and q satisfy suitable conditions. (C) 2006 ...
The paper is concerned with the existence of nodal radial solutions for the p ( x ) -Laplacian equation { − div ( | ∇ u | p ( x ) − 2 ∇ u ) + a ( x ) | u | p ( x ) − 2 u = | u | q ( x ) − 2 u in Ω , u ∈ W 0 1 , p ( x ) ...