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A mixed method for the biharmonic problem based on a system of first-order equations.
(Brown University, 2015)
A mixed method for the biharmonic problem based on a system of first-order equations.
(Brown University, 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 ...
Existence and concentration of solutions for a class of biharmonic equations
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2013-08-02)
Some superlinear fourth order elliptic equations are considered. A family of solutions is proved to exist and to concentrate at a point in the limit. The proof relies on variational methods and makes use of a weak version ...
Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
(Belgian Mathematical Soc Triomphe, 2014)
Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
(2013-01-01)
We consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ |U|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number ...
Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
(Belgian Mathematical Soc Triomphe, 2013-07-01)
We consider the fourth-order problem{epsilon(4)Delta(2)u + V(x)u = f(u) + gamma vertical bar u vertical bar(2)**-(2)u in R-N u is an element of H-2(R-N),where epsilon > 0, N >= 5, V is a positive continuous potential, f ...