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Volumn 238, Issue 1, 2007, Pages 201-219

Weighted Sobolev embedding with unbounded and decaying radial potentials

Author keywords

Ground states; p Laplacian; Unbounded or decaying potentials

Indexed keywords


EID: 34249112640     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2007.03.018     Document Type: Article
Times cited : (169)

References (32)
  • 1
    • 12844261727 scopus 로고    scopus 로고
    • Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
    • Ambrosetti A., Felli V., and Malchiodi A. Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. J. Eur. Math. Soc. 7 (2005) 117-144
    • (2005) J. Eur. Math. Soc. , vol.7 , pp. 117-144
    • Ambrosetti, A.1    Felli, V.2    Malchiodi, A.3
  • 2
    • 34249041599 scopus 로고    scopus 로고
    • A. Ambrosetti, A. Malchiodi, D. Ruiz, Bounded states of nonlinear Schrödinger equations with potentials vanishing at infinity, J. Anal. Math., in press
  • 3
    • 34249040945 scopus 로고    scopus 로고
    • A. Ambrosetti, D. Ruiz, Radial solutions concentrating on spheres of NLS with vanishing potentials, preprint
  • 4
    • 33745663525 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with vanishing and decaying potentials
    • Ambrosetti A., and Wang Z.-Q. Nonlinear Schrödinger equations with vanishing and decaying potentials. Differential Integral Equations 18 (2005) 1321-1332
    • (2005) Differential Integral Equations , vol.18 , pp. 1321-1332
    • Ambrosetti, A.1    Wang, Z.-Q.2
  • 5
    • 84887491883 scopus 로고    scopus 로고
    • A note on nonlinear elliptic problems with singular potentials
    • Badiale M., and Rolando S. A note on nonlinear elliptic problems with singular potentials. Rend. Lincei Mat. Appl. 17 (2006) 1-13
    • (2006) Rend. Lincei Mat. Appl. , vol.17 , pp. 1-13
    • Badiale, M.1    Rolando, S.2
  • 7
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations. I. Existence of a ground state
    • Berestycki H., and Lions P.-L. Nonlinear scalar field equations. I. Existence of a ground state. Arch. Ration. Mech. Anal. 82 (1983) 313-345
    • (1983) Arch. Ration. Mech. Anal. , vol.82 , pp. 313-345
    • Berestycki, H.1    Lions, P.-L.2
  • 8
    • 0036027321 scopus 로고    scopus 로고
    • Standing waves with a critical frequency for nonlinear Schrödinger equations
    • Byeon J., and Wang Z.-Q. Standing waves with a critical frequency for nonlinear Schrödinger equations. Arch. Ration. Mech. Anal. 165 (2002) 295-316
    • (2002) Arch. Ration. Mech. Anal. , vol.165 , pp. 295-316
    • Byeon, J.1    Wang, Z.-Q.2
  • 9
    • 0142230503 scopus 로고    scopus 로고
    • Standing waves with a critical frequency for nonlinear Schrödinger equations, II
    • Byeon J., and Wang Z.-Q. Standing waves with a critical frequency for nonlinear Schrödinger equations, II. Calc. Var. Partial Differential Equations 18 (2003) 207-219
    • (2003) Calc. Var. Partial Differential Equations , vol.18 , pp. 207-219
    • Byeon, J.1    Wang, Z.-Q.2
  • 10
    • 33745655598 scopus 로고    scopus 로고
    • Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potential
    • Byeon J., and Wang Z.-Q. Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potential. J. Eur. Math. Soc. 8 (2006) 217-228
    • (2006) J. Eur. Math. Soc. , vol.8 , pp. 217-228
    • Byeon, J.1    Wang, Z.-Q.2
  • 11
    • 0039030643 scopus 로고    scopus 로고
    • On the existence of positive solutions for a class of singular elliptic equations
    • Conti M., Crotti S., and Pardo D. On the existence of positive solutions for a class of singular elliptic equations. Adv. Differential Equations 3 (1998) 111-132
    • (1998) Adv. Differential Equations , vol.3 , pp. 111-132
    • Conti, M.1    Crotti, S.2    Pardo, D.3
  • 14
    • 34250124360 scopus 로고
    • On the existence of positive entire solutions of a semilinear elliptic equation
    • Ding W., and Ni W.-M. On the existence of positive entire solutions of a semilinear elliptic equation. Arch. Ration. Mech. Anal. 91 (1986) 283-308
    • (1986) Arch. Ration. Mech. Anal. , vol.91 , pp. 283-308
    • Ding, W.1    Ni, W.-M.2
  • 15
    • 23044523081 scopus 로고    scopus 로고
    • Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
    • Ghoussoub N., and Yuan C. Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans. Amer. Math. Soc. 352 (2000) 5703-5743
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 5703-5743
    • Ghoussoub, N.1    Yuan, C.2
  • 16
    • 0010299677 scopus 로고
    • A family of optimal conditions for the absence of bound states in a potential
    • Princeton University Press
    • Glaser V., Martin A., Grosse H., and Thirring W. A family of optimal conditions for the absence of bound states in a potential. Stud. Math. Phys. (1976), Princeton University Press 169-194
    • (1976) Stud. Math. Phys. , pp. 169-194
    • Glaser, V.1    Martin, A.2    Grosse, H.3    Thirring, W.4
  • 17
    • 0000956029 scopus 로고
    • Nonautonomous nonlinear scalar field equations
    • Li Y.Y. Nonautonomous nonlinear scalar field equations. Indiana Univ. Math. J. 39 (1990) 283-301
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 283-301
    • Li, Y.Y.1
  • 19
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • Lieb E. Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. of Math. 118 (1983) 349-374
    • (1983) Ann. of Math. , vol.118 , pp. 349-374
    • Lieb, E.1
  • 21
    • 0001755361 scopus 로고
    • A nonlinear Dirichlet problem on the unit ball and its applications
    • Ni W.-M. A nonlinear Dirichlet problem on the unit ball and its applications. Indiana Univ. Math. J. 31 (1982) 801-807
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 801-807
    • Ni, W.-M.1
  • 23
    • 0000520530 scopus 로고
    • Homoclinic orbits for a class of Hamiltonian systems
    • Omana W., and Willem M. Homoclinic orbits for a class of Hamiltonian systems. Differential Integral Equations 5 (1992) 1115-1120
    • (1992) Differential Integral Equations , vol.5 , pp. 1115-1120
    • Omana, W.1    Willem, M.2
  • 24
    • 0003308263 scopus 로고
    • Hardy-Type Inequalities
    • Longman Scientific & Technical, Harlow
    • Opic B., and Kufner A. Hardy-Type Inequalities. Pitman Res. Notes in Math. Ser. vol. 219 (1990), Longman Scientific & Technical, Harlow
    • (1990) Pitman Res. Notes in Math. Ser. , vol.219
    • Opic, B.1    Kufner, A.2
  • 25
    • 34249835055 scopus 로고
    • On a class of nonlinear Schrödinger equations
    • Rabinowitz P.H. On a class of nonlinear Schrödinger equations. Z. Angew. Math. Phys. 43 (1992) 270-291
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 270-291
    • Rabinowitz, P.H.1
  • 27
    • 34248999536 scopus 로고    scopus 로고
    • N with unbounded coefficients
    • Variational and Topological Methods in the Study of Nonlinear Phenomena. Pisa, 2000, Birkhäuser Boston, Boston, MA
    • N with unbounded coefficients. Variational and Topological Methods in the Study of Nonlinear Phenomena. Pisa, 2000. Progr. Nonlinear Differential Equations Appl. vol. 49 (2002), Birkhäuser Boston, Boston, MA 105-113
    • (2002) Progr. Nonlinear Differential Equations Appl. , vol.49 , pp. 105-113
    • Sintzoff, P.1    Willem, M.2
  • 29
    • 34249059733 scopus 로고    scopus 로고
    • J. Su, Z.-Q. Wang, M. Willem, Nonlinear Schrödinger equations with unbounded and decaying radial potentials, Commun. Contemp. Math., in press
  • 31
    • 0000540347 scopus 로고
    • Existence of solitary waves in higher dimensions
    • Strauss W.A. Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55 (1977) 149-162
    • (1977) Comm. Math. Phys. , vol.55 , pp. 149-162
    • Strauss, W.A.1
  • 32
    • 0000155087 scopus 로고    scopus 로고
    • On positive entire solutions to a class of equations with a singular coefficient and critical exponent
    • Terracini S. On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Adv. Differential Equations 1 (1996) 241-264
    • (1996) Adv. Differential Equations , vol.1 , pp. 241-264
    • Terracini, S.1


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