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S Tiwari (2015)
$$N$$ N -Laplacian critical problem with discontinuous nonlinearitiesAdv. Nonlinear Anal., 4
A Kristály, V Rădulescu, C Varga (2010)
Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems, Encyclopedia of Mathematics and its Applications, No. 136
Y Chen, S Levine, R Rao (2006)
Variable exponent, linear growth functionals in image restorationSIAM J. Appl. Math., 66
V Rădulescu (2015)
Nonlinear elliptic equations with variable exponent: old and newNonlinear Anal., 121
S Ouaro, A Ouedraogo, S Soma (2014)
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponentAdv. Nonlinear Anal., 3
GA Afrouzi, A Hadjian, S Heidarkhani (2014)
Steklov problems involving the $$p(x)$$ p ( x ) -LaplacianElectr. J. Diff. Equ., 134
G Molica Bisci, V Rădulescu (2013)
Multiple symmetric solutions for a Neumann problem with lack of compactnessCR. Acad. Sci. Paris, Ser. I, 351
X Fan, D Zhao (2001)
On the spaces $$L^{p(x)}(\Omega )$$ L p ( x ) ( Ω ) and $$W^{m, p(x)}(\Omega )$$ W m , p ( x ) ( Ω )J. Math. Anal. Appl., 263
B Ricceri (2000)
On a three critical points theoremArch. Math. (Basel), 75
M Mihăilescu, V Rădulescu (2008)
Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaceAnn. Inst. Fourier Grenoble, 6
SG Deng (2008)
Eigenvalues of the $$p(x)$$ p ( x ) -Laplacian Steklov problemJ. Math. Anal. Appl., 339
O Kováčik, J Rákosník (1991)
On spaces $$L^{p(x)}(\Omega )$$ L p ( x ) ( Ω ) and $$W^{m, p(x)}(\Omega )$$ W m , p ( x ) ( Ω )Czechoslov. Math. J., 41
H Beirao da Veiga (2014)
On nonlinear potential theory, and regular boundary points, for the $$p$$ p -Laplacian in $$N$$ N space variablesAdv. Nonlinear Anal., 3
G Molica Bisci, D Repovš (2014)
Multiple solutions for elliptic equations involving a general operator in divergence formAnn. Acad. Sci. Fenn. Math., 39
RA Adams (1975)
Sobolev Spaces
B Ricceri (2011)
A further refinement of a three critical points theoremNonlinear Anal., 74
P Pucci, J Serrin (1985)
A mountain pass theoremJ. Differ. Equ., 60
X Fan (2005)
Solutions for $$p(x)$$ p ( x ) -Laplacian Dirichlet problems with singular coefficientsJ. Math. Anal. Appl., 312
X Fan, Q Zhang, D Zhao (2005)
Eigenvalues of $$p(x)$$ p ( x ) -Laplacian Dirichlet problemJ. Math. Anal. Appl., 302
G Bonanno, P Candito (2008)
Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearitiesJ. Differ. Equ., 244
A Kristály, M Mihăilescu, V Rădulescu (2009)
Two non-trivial solutions for a non-homogeneous Neumann problem: an Orlicz-Sobolev space settingProc. R. Soc. Edinb. Sect. A, 139
M Ružička (2000)
Electrorheological Fluids: Modeling and Mathematical Theory
TC Halsey (1992)
Electrorheological fluidsScience, 258
MM Rao, ZD Ren (1991)
Theory of Orlicz Spaces
M Allaoui, AR Amrouss, A Ourraoui (2012)
Existence and multiplicity of solutions for a Steklov problem involving $$p(x)$$ p ( x ) -Laplace operatorElectr. J. Diff. Equ., 132
R Demarque, O Miyagaki (2015)
Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddingsAdv. Nonlinear Anal., 4
L Diening (2005)
Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spacesBull. Sci. Math., 129
V Rădulescu, D Repovš (2015)
Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis, Monographs and Research Notes in Mathematics
J Chabrowski, Y Fu (2005)
Existence of solutions for $$p(x)$$ p ( x ) -Laplacian problems on a bounded domainJ. Math. Anal. Appl., 306
O Torne (2005)
Steklov problem with an indefinite weight for the $$p$$ p -LaplacianElectron. J. Differ. Equ., 87
P Pucci, J Serrin (1984)
Extensions of the mountain pass theoremJ. Funct. Anal., 59
In the present paper, we establish the range of two parameters for which a non-homogeneous boundary value problem admits at least three weak solutions. The proof of the main results relies on recent variational principles due to Ricceri.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jul 10, 2015
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