Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
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[1] D. Applebaum. Lévy Processes—From Probability to Finance and Quantum Groups , 2004 .
[2] Shanzhen Lu,et al. Marcinkiewicz integral with rough kernels , 2008 .
[3] Louis Dupaigne,et al. Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations , 2010, 1004.1906.
[4] Zhaoli Liu,et al. Sign Changing Solutions of Superlinear Schrödinger Equations , 2003 .
[5] C. Brändle,et al. A concave—convex elliptic problem involving the fractional Laplacian , 2010, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[6] Zhaoli Liu,et al. On a superlinear elliptic p-Laplacian equation , 2004 .
[7] Xiaojun Chang,et al. Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity , 2013 .
[8] Jingxian Sun,et al. Invariant Sets of Descending Flow in Critical Point Theory with Applications to Nonlinear Differential Equations , 2001 .
[9] Zhi-Qiang Wang,et al. Ljusternik-Schnirelman theory in partially ordered Hilbert spaces , 2002 .
[10] Luis Silvestre,et al. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian , 2007, math/0702392.
[11] T. Bartsch,et al. On the existence of sign changing solutions for semilinear Dirichlet problems , 1996 .
[12] Xavier Cabre,et al. Positive solutions of nonlinear problems involving the square root of the Laplacian , 2009, 0905.1257.
[13] Xiangqing Liu,et al. On a boundary value problem in the half-space , 2011 .
[14] Jinggang Tan,et al. The Brezis–Nirenberg type problem involving the square root of the Laplacian , 2011 .
[15] Kung-Ching Chang,et al. On the Morse indices of sign changing solutions of nonlinear elliptic problems , 2000 .
[16] T. Bartsch. Critical Point Theory on Partially Ordered Hilbert Spaces , 2001 .
[17] S. Chang,et al. Fractional Laplacian in conformal geometry , 2010, 1003.0398.
[18] T. Bartsch,et al. A note on additional properties of sign changing solutions to superlinear elliptic equations , 2003 .
[19] Zhi-Qiang Wang. On a superlinear elliptic equation , 1991 .
[20] S. Terracini,et al. Remarks on variational methods and lower-upper solutions , 1999 .
[21] P. Rabinowitz. Minimax methods in critical point theory with applications to differential equations , 1986 .
[22] A. Pablo,et al. On some critical problems for the fractional Laplacian operator , 2011, 1106.6081.
[23] Jean-Michel Roquejoffre,et al. Variational problems with free boundaries for the fractional Laplacian , 2010 .
[24] Enrico Valdinoci,et al. From the long jump random walk to the fractional Laplacian , 2009, 0901.3261.
[25] C. Swanson,et al. On the zeros of solutions of elliptic inequalities in bounded domains , 1978 .
[26] Luis Silvestre,et al. Regularity of the obstacle problem for a fractional power of the laplace operator , 2007 .
[27] Zhaoli Liu,et al. Sign-changing solutions of nonlinear elliptic equations , 2008 .
[28] Zhaoli Liu,et al. Nodal type bound states of Schrödinger equations via invariant set and minimax methods , 2005 .
[29] Yannick Sire,et al. Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates , 2010, 1012.0867.
[30] L. Caffarelli,et al. An Extension Problem Related to the Fractional Laplacian , 2006, math/0608640.
[31] Zhaoli Liu,et al. Nodal Solutions of a p‐Laplacian Equation , 2005 .
[32] Adriana Garroni,et al. Γ-Limit of a Phase-Field Model of Dislocations , 2005, SIAM J. Math. Anal..