메뉴 건너뛰기




Volumn 146, Issue 1, 1998, Pages 56-66

Elliptic Resonant Problems at Higher Eigenvalues with an Unbounded Nonlinear Term

Author keywords

Critical point; Eigenvalues; Elliptic resonant problem; Generalized Mountain Pass Theorem; H lder inequality; Saddle Point Theorem; Sobolev's embedding theorem

Indexed keywords


EID: 0007587347     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3411     Document Type: Article
Times cited : (15)

References (9)
  • 1
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • Bartolo P., Benci V., Fortunato D. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity. Nonlinear Anal. 7:1983;981-1012.
    • (1983) Nonlinear Anal. , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 2
    • 0031077087 scopus 로고    scopus 로고
    • Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
    • Bartsch T., Shujie Li. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Nonlinear Anal. 28:1997;419-441.
    • (1997) Nonlinear Anal. , vol.28 , pp. 419-441
    • Bartsch, T.1    Shujie Li2
  • 3
    • 84972506447 scopus 로고
    • On a class of resonant problems at higher eigenvalues
    • Costa D. G., Silva E. A. On a class of resonant problems at higher eigenvalues. Differential Integral Equations. 8:1995;663-671.
    • (1995) Differential Integral Equations , vol.8 , pp. 663-671
    • Costa, D.G.1    Silva, E.A.2
  • 4
    • 38249001107 scopus 로고
    • Multiplicity results for semilinear elliptic problems at resonance and jumping nonlinearities
    • Hirano N., Nishimura T. Multiplicity results for semilinear elliptic problems at resonance and jumping nonlinearities. J. Math. Anal. Appl. 180:1993;566-586.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 566-586
    • Hirano, N.1    Nishimura, T.2
  • 5
    • 0003172702 scopus 로고
    • Asymptotically linear elliptic equations without nonresonance conditions
    • Mizoguchi N. Asymptotically linear elliptic equations without nonresonance conditions. J. Differential Equations. 113:1994;150-165.
    • (1994) J. Differential Equations , vol.113 , pp. 150-165
    • Mizoguchi, N.1
  • 6
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Rabinowitz P. H. Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conf. Ser. in Math. 65:1986.
    • (1986) CBMS Regional Conf. Ser. in Math. , vol.65
    • Rabinowitz, P.H.1
  • 7
    • 84972513543 scopus 로고
    • A general approach to solvability conditions for semisimilar elliptic boundary value problems at resonance
    • Robinson S. B., Landesman E. M. A general approach to solvability conditions for semisimilar elliptic boundary value problems at resonance. Differential Integral Equations. 8:1995;1555-1569.
    • (1995) Differential Integral Equations , vol.8 , pp. 1555-1569
    • Robinson, S.B.1    Landesman, E.M.2
  • 8
    • 0000079977 scopus 로고
    • Linking theorems and applications to semisimilar elliptic problems at resonance
    • Silva E. A.B. Linking theorems and applications to semisimilar elliptic problems at resonance. Nonlinear Anal. 16:1991;455-477.
    • (1991) Nonlinear Anal. , vol.16 , pp. 455-477
    • Silva, E.A.B.1
  • 9
    • 38249039014 scopus 로고
    • On the solvability of some partial differential equations with the linear part at resonance
    • Solimin S. On the solvability of some partial differential equations with the linear part at resonance. J. Math. Anal. Appl. 117:1986;138-152.
    • (1986) J. Math. Anal. Appl. , vol.117 , pp. 138-152
    • Solimin, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.