Some Recent Publications
- Minimization problems for noncoercive functionals subject to
constraints (with V. K. Le), I. Trans. Amer. Math. Soc. 347(1995),
4485-4513. II. Adv. Diff. Equations 1(1996), 453-498.
- Positive solutions of semilinear elliptic equations, pp. 447-500 in
Topological Methods in Differential Equations, Kluwer, Boston, 1995.
- On the principal eigenvalue of p-Laplacian like operators (with
M. Garcia-Huidobro and R. Manasevich), J. Diff. Equations 130(1996),
235-246.
- Global Bifurcation in Variational Inequalities: Applications to
Obstacle and Unilateral Problems (with V. K. Le),
Springer Verlag, New York, 1997.
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On Neumann problems for semilinear elliptic equations with critical
nonlinearity: existence and symmetry of multi-peaked solutions
(with S. Maier-Paape and Z. Q. Wang),
Comm. PDE 22(1997), 1493-1527.
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On boundary value problems for degenerate quasilinear elliptic
equations and inequalities (with V. K. Le), J. Differential Equations
144(1998), 170-218.
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Positive radial solutions of quasilinear elliptic partial differential
equations on a ball (with M. Garcia-Huidobro,
and R. Manasevich). Nonlinear Analysis 35(1999), 175-190.
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On boundary value problems for quasilinear elliptic equations,
Fields Institute Communications 21(1999), 419-427.
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On principal eigenvalues for quasilinear elliptic differential
operators:
An Orlicz-Sobolev space setting (with M. Garcia-Huidobro, V. Le,
and R. Manasevich). Nonl. Diff. Equations and Applications 6(1999),
207-225.
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Solutions of mountain pass type of quasilinear elliptic equations
(with P. Clement, M. Garcia-Huidobro, and R. Manasevich).
Calculus of Variations and PDE 11(2000), 33-62.
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On Critical points for noncoercive functionals and subharmonic
solutions of some nonlinear Hamiltonian systems (with Z. Wang),
Electr. J. Diff. Equations, 2000, 237-245.
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On the existence of soliton solutions of quasilinear Schroedinger
equations
(with M. Poppenberg and Z. Wang), Calculus of Variations and PDE,
14(2002),
329-344.
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Quasilinear elliptic equations and inequalities with rapidly
growing coefficients (with V. K. Le), Journal London Math. Soc.
62(2000), 852-872.
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Variational inequalities, bifurcation and
applications. Nonlinear Analysis and its Applications to Differential
Equations.
Pages 113-143 in Progr. Nonlinear Differential Equations Appl., 43, Birkhäuser,
Boston, 2001.
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On the existence of nontrivial solutions to some elliptic
variational inequalities (with V. Le), Advanced Nonlinear Studies,
2(2002), 251-262.
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The Liouville-Bratu-Gelfand problem for radial operators (with
J. Jacobsen),
Journal of Differential Equations, 184(2002), 283-298.
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Radial solutions of quasilinear elliptic differential equations (with
J. Jacobsen),
pp. 359-436 in Handbook of Differential Equations, ed. by Canada,
Drabek, Fonda; Elsevier, 2004.
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Variational methods for nonlinear eigenvalue inequalities
(with An Le and Vy Le), Vietnamese J. Math. 32(2004), 43--48.
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Periodic solutions of second order equations -
a variational approach, pp. 213--220 in The First Sixty Years of
Nonlinear Analysis of Jean Mawhin, edited by M. Delgado,
J. L{\'o}pez-G{\'o}mez, R. Ortega, and A. Su{\'a}rez, World
Scientific, Singapore, 2004.
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Bifurcation problems associated with generalized
Laplacians
(with Inbo Sim), Advances in Differential Equations 9(2004), 797--828.
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On generalized and viscosity solutions of nonlinear
elliptic equations (with D. Hartenstine), Advanced Nonlinear Studies
4(2004), 289--306.
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Ambrosetti-Prodi type problems for quasilinear
elliptic equations (with Eiko Koizumi), Differential and Integral
Equations, 18(2005), 241--262.
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Sub-supersolution theorems for quasilinear elliptic
problems: A variational approach (with V. Le),
Elect. J. Diff. Equations 2004(2004), 118, 1--7.
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Some general concepts of sub- and supersolutions for
nonlinear elliptic problems (with V. Le),
Top. Meth. Nonl. Anal. 28(2006),
87--103.
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Variational eigenvalues of degenerate eigenvalue problems for the
weighted p-Laplacian (with An Le), Advanced Nonlinear Studies
5(2005), 553-565.
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On positive solutions of quasilinear elliptic equations
(with N. Loc), Differential and Integral Equations 22(2009), 829-842.
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The Contraction Mapping Principle and Some
Applications
(with R. Brooks), Electr. J. Diff. Equations Monograph 09, 2009.
ISSN 1072-6691.
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Equations and inequalities in Orlicz-Sobolev spaces: Selected topics
(with V. K. Le), pp. 295--351 in Handbook on Nonconvex Analysis and
Applications, D. Motreanu, editor,
International Press, 2010.
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Boundary value problems for singular elliptic problems (with N. Loc),
Rocky Mtn. J. Math. 41(2011), 555--572.
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On second order quadratic systems and algebras (with A. Sagle),
Differential and Integral Equations 24(2011), 877--894.
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Fixed set theorems, discrete dynamics and nonlinear boundary value
problems
(with R. Brooks and B. Warner), Elect. J. Diff. Equations 2011(2011),
no. 56, pp. 1--15.
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Applications of sub-supersolution theorems to singular elliptic
problems
(with N. Loc), Advanced Nonlinear Studies 11(2011), 493--524.