References
- Astarita G, Marrucci G. Principles of non-newtonian fluid mechanics. New York (NY): McGraw-Hill; 1974.
- Benci V, D’Avenia P, Fortunato D, Pisani L. Solitons in several space dimensions: Derrick’s problem and infinitely many solutions. Arch. Ration. Mech. Anal. 2000;154:297–324.
- Berestycki H, Lions P-L. Nonlinear scalar field equations. I. Existence of infinitely many solutions. Arch. Rational Mech. Anal. 1983;82:313–345.
- Berestycki H, Lions P-L. Nonlinear scalar field equations. II. Existence of a ground state. Arch. Rational Mech. Anal. 1983;82:347–375.
- Sulem C, Sulem P-L. The nonlinear Schrödinger equation: self-focusing and wave collapse, applied mathematical sciences. Vol. 139. New York (NY): Springer-Verlag; 1999.
- D\’{i}az JI. Nonlinear partial differential equations and free boundaries. Vol. I. Elliptic equations, Pitman research notes in mathematics series, Vol. 106. Boston (MA): Pitman; 1985.
- Kachanov LM. Foundations of the theory of plasticity. North Holland: Amsterdam; 1971.
- Ding W-Y, Ni W-M. On the existence of positive entire solutions of a semilinear elliptic equation. Arch. Rat. Mech. Anal. 1986;91:183–308.
- Rabinowitz PH. On a class of nonlinear Schrödinger equations. Z. Angew. Math. Phys. 1992;43:270–291.
- Costa DG. On a class of elliptic systems in ℝN. Electronic J. Diff. Eq. 1994;7:1–14.
- Bartsch T, Wang Z-Q. Existence and multiplicity results for some superlinear elliptic problems on ℝN. Comm. Part. Diff. Eq. 1995;20:1725–1741.
- Sirakov B. Existence and multiplicity of solutions of semi-linear elliptic equations in ℝN. Calc. Var. Partial Differ. Equ. 2000;11:119–142.
- Sintzoff P, Willem M. A semilinear elliptic equation on ℝN with unbounded coefficients. In: Variational and Topological Methods in the Study of Nonlinear Phenomena. Pisa: 2000. p. 105–113. Progr. Nonlinear Differential Equations Appl., vol. 49, Birkhäuser, Boston, MA, 2002,
- Ding YH, Szulkin A. Bound states for semilinear Schrödinger equations with sign-changing potential. Calc. Var. Partial Differ. Equ. 2007;29:397–419.
- Nelson E. Feynman integrals and the Schrödinger equation. J. Math. Phys. 1964;5:332–343.
- Ambrosetti A, Rabinowitz PH. Dual variational methods in critical point theory and applications. J. Funct. Anal. 1973;14:349–381.
- Lions P-L. The concentration-compactness principle in the calculus of variations. The locally compact case, Anal. Nonlin. 1984;1:223–283.
- Pucci P, Serrin J. A general variational identity. Indiana Math. J. 1986;35:681–703.