Publications (since 2001)

• (2001) D.G. Costa and H. Tehrani, On the Sign of the Mountain-Pass Solution, J. Nonl. Anal. 44, 65-80.

• (2001) D.G. Costa, Z. Ding and J. Neuberger, A Numerical Investigation of Sign-Changing Solutions to Superlinear Elliptic Problems on Symmetric Domains, J. Comp. Appl. Math. 131, 299-319.

• (2001) D.G. Costa and H. Tehrani, Existence of Positive Solutions for a Class of Indefinite Elliptic Problems in $RN$, Calc. Var. & Partial Diff. Eqs. 13, 159-189.

• (2001) D.G. Costa and H. Tehrani, On a Class of Asymptotically Linear Elliptic Problems in RN , J. Diff. Eqs. 173, 470-494.

• (2002) D.G. Costa, A First Encounter with Variational Methods in Differential Equations, Cubo Matematica Educacional 4 (1), 251-281.

• (2002) D.G. Costa, Multiplicity of Solutions in Differential Equations, Textos de Matematica 16, 137-154.

• (2002) D.G. Costa, Y. Guo and M. Ramos, Existence and Multiplicity Results for Indefinite Elliptic Problems in $RN$, Elect. J. Diff. Eqs. 25, 1-15.

• (2003) D.G. Costa, Variational Problems which are Nonquadratic at Infinity, Proceedings of the Seminar on Morse Theory, Minimax Theory and Applications to Nonlinear Differential Equations, International Press -AMS , 39-56.

• (2003) D.G. Costa and P. Girao, Existence and Nonexistence of Least Energy Solutions of a Neumann Problem for a Semilinear Equation with Critical Sobolev Exponent and a Critical Lower-Order Perturbation, J. Diff. Eqs. ,188, 164-202.

• (2003) D.G. Costa and H. Tehrani, The Jumping Nonlinearity Problem Revisited: An Abstract Approach, Top. Meth. in Nonl.Anal. 21, 249-272.

• (2003) D.G. Costa and H. Tehrani, Existence and Multiplicity Results for a Class of Schrodinger Equations with Indefinite Nonlinearities, Advances in Diff. Eqns. 8, 1319-1340.

• (2004) D.G. Costa and H. Tehrani, Unbounded Perturbations of Resonant Schrodinger Equations, Contemporary Mathematics 357, 101-110.

• (2004) D.G. Costa, M. Ramos and H. Tehrani, Nonzero Solutions for a Schrodinger Equation with Indefinite Linear and Nonlinear Terms, Proc. Royal Soc. Edinburgh 134A, 249-258.

• (2005) D.G. Costa and Z.-Q. Wang, Multiplicity Results for a Class of Superlinear Elliptic Problems, Proc. Amer. Math. Soc. 133, . [Article published electronically on Sept. 8, 2004]
  

• (2005) D.G. Costa and O. Miyagaki, On a Class of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type, Progress Nonl. Diff. Eqs. Appl. 66, 207-220.

• (2006) D.G. Costa, J. Yang and H. Tehrani, On a Variational Approach to Existence and Multiplicity Results for Semipositone Problems, Elect. J. Diff. Eqs. 11, 1-10.

• (2006) D.G. Costa and H. Tehrani, Simple Existence Proofs for One-Dimensional Semipositone Problems, Proc. Royal Soc.Eddinb. 136A, 473-493.

• (2006) D.G. Costa and J. Chabrowski, On a Class of Schrodinger Type Equations with Indefinite Weight Functions, to appear in Comm. Partial Diff. Eqs.

• (2007) D.G. Costa, Some New and Short Proofs for a Class of Caffarelli-Kohn-Nirenberg Type Inequalities, to appear in J. Math. Anal. Appl.