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Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains
(Nonlinear Analysis: Theory, Methods & Applications, 2018)
Sign changing solutions to a Bahri-Coron's problem in pierced domains
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2008)
We consider the problem
Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2006)
We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains ...
Stationary Sign Changing Solutions for an Inhomogeneous Nonlocal Problem
(INDIANA UNIV MATH JOURNAL, 2011)
We consider the following nonlocal equation:
GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS
(AMER MATHEMATICAL SOCPROVIDENCE, 2012)
We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a ...
SUPERLINEAR ELLIPTIC PROBLEMS WITH SIGN CHANGING COEFFICIENTS
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2013-08-02)
Via variational methods, we study multiplicity of solutions for the problem {-Delta u = lambda b(x)vertical bar u vertical bar(q-2)u + au + g(x, u) in Omega, u - 0 on partial derivative Omega, where a simple example for ...
The ∞ -eigenvalue problem with a sign-changing weight
(Birkhauser Verlag Ag, 2019-04)
Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ∞, consider the eigenvalue problem {-Δpu=λm(x)|u|p-2uinΩ,u=0on∂Ω,where Δ p u is the usual p-Laplacian. Our purpose in this ...
The Descending Flow Method And Existence Of Solutions For A Class Of Elliptic Equations
(SPRINGER BASEL AGBASEL, 2015)
Radial sign-changing solutions to biharmonic nonlinear Schrodinger equations
(Springer, 2015-01-31)
In this work we obtain three radial solutions of a biharmonic stationary Schrodinger equation, one being positive, one negative, and one sign changing. The dual decomposition method is used to split the natural second-order ...
A sign-changing solution for an asymptotically linear Schrödinger equation
(Cambridge University PressNew York, 2015)