The Nehari manifold for a semilinear elliptic problem with the nonlinear boundary condition

Abreu, 2005, Remarks on a class of Neumann problems involving critical exponents, Progr. Nonlinear Differential Equations Appl., 66, 1, 10.1007/3-7643-7401-2_1 Chabrowski, 2004, On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary, J. Math. Anal. Appl., 290, 605, 10.1016/j.jmaa.2003.10.036 Garcia-Azorero, 2004, A convex–concave problem with a nonlinear boundary condition, J. Differential Equations, 198, 91, 10.1016/S0022-0396(03)00068-8 Pierotti, 1995, On a Neumann problem with critical exponents and critical nonlinear on boundary, Comm. Partial Differential Equations, 20, 1155, 10.1080/03605309508821128 Wu, 2006, A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential, Electron. J. Differential Equations, 131, 1 Brown, 2003, The Nehari manifold for a semilinear elliptic problem with a sign-changing weight function, J. Differential Equations, 193, 481, 10.1016/S0022-0396(03)00121-9 Drabek, 1997, Positive solutions for the p-Laplacian: application of the fibrering mathods, Proc. Roy. Soc. Edinburgh Sect. A, 127, 703, 10.1017/S0308210500023787 Nehari, 1960, On a class of nonlinear second-order differential equations, Trans. Amer. Math. Soc., 95, 101, 10.1090/S0002-9947-1960-0111898-8 Alves, 2005, Nehari manifold and existence of positive solutions to a class of quasilinear problems, Nonlinear Anal., 60, 611, 10.1016/j.na.2004.09.039 Bonder, 2001, Existence results for the p-Laplacian with nonlinear boundary conditions, J. Math. Anal. Appl., 263, 195, 10.1006/jmaa.2001.7609 Wu, 2010, Multiplicity of positive solutions for a semilinear eliptic equation in R+N with nonlinear boundary condition, Commun. Pure Appl. Anal., 6, 1675, 10.3934/cpaa.2010.9.1675 Zhao, 2008, Existence of infinity many weak solutions for the p-Laplacian with nonlinear boundary conditions, Nonlinear Anal., 69, 1343, 10.1016/j.na.2007.06.036 Ambrosetti, 1994, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal., 122, 519, 10.1006/jfan.1994.1078 Brown, 2007, A fibering map approach to a semilinear elliptic boundary value problem, Electron. J. Differential Equations, 69, 1 Wu, 2010, Multiple positive solutions for a class of concave–convex eliptic problems in R+N involving sing-cjanging weight, J. Funct. Anal., 258, 99, 10.1016/j.jfa.2009.08.005 Pohozeav, 2008, Nonlinear variational probelms via the fibering method, 49 Brezis, 1983, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math., 36, 486, 10.1002/cpa.3160360405 Escobar, 1990, Uniqueness theorems on conformal deformation of metrics, Sobolev inequalities, and an eigenvalue estimate, Comm. Pure Appl. Math., 43, 857, 10.1002/cpa.3160430703 Chipot, 1996, On the solutios to some elliptic equations with nonlinear Neumann boundary conditions, Adv. Differential Equations, 1, 91, 10.57262/ade/1366896316 Lions, 1985, The concentration-compactness principle in the calculus of variations. The limit case, Rev. Mat. Iberoam., 1, 145, 10.4171/RMI/6 Li, 2010, Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent, J. Math. Anal. Appl., 369, 245, 10.1016/j.jmaa.2010.03.022 Lê, 2006, Eigenvalue problems for the p-Laplacian, Nonlinear Anal., 64, 1057, 10.1016/j.na.2005.05.056 Binding, 1997, On Neumann boundary value problems for some quasilinear elliptic equations, Electron. J. Differential Equations, 5, 1 Drabek, 1997, Multiplicity of positive solutions for some quasilinear elliptic equation in RN with critical Sobolev exponent, J. Differential Equations, 140, 106, 10.1006/jdeq.1997.3306 Wu, 2008, On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function, Commun. Pure Appl. Anal., 7, 383, 10.3934/cpaa.2008.7.383 Wu, 2010, Three positive solutions for Dirichlte problems involving critical Sobolev exponent and sign-changing weight, J. Differential Equations, 249, 1549, 10.1016/j.jde.2010.07.021 Willem, 1996 Brown, 2005, The Nehari manifold for a semilinear elliptic equation involing a sublinear term, Calc. Var. Partial Differential Equations, 22, 483, 10.1007/s00526-004-0289-2