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In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.
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참고문헌 (27)
참고문헌 신청
A. Ambrosetti / 1994 / Combined effects of concave and convex nonlinearities in some elliptic problems / J. Funct. Anal. 122 (2) : 519 ~ 543
A. El Hamidi / 2004 / Existence results to elliptic systems with nonstandard growth conditions / J. Math. Anal. Appl. 300 (1) : 30 ~ 42
D. Edmunds / 2000 / Sobolev embeddings with variable exponent / Studia Math. 143 (3) : 267 ~ 293
E. Acerbi / 2002 / Regularity results for stationary electro-rheological fluids / Arch. Ration. Mech. Anal. 164 (3) : 213 ~ 259
G. A. Afrouzi / 2007 / The Nehari manifold for p-Laplacian equation with Dirichlet boundary condition / Nonlinear Anal. Model. Control 12 (2) : 143 ~ 155
A. El Hamidi / 2004 / Existence results to elliptic systems with nonstandard growth conditions / J. Math. Anal. Appl. 300 (1) : 30 ~ 42
D. Edmunds / 2000 / Sobolev embeddings with variable exponent / Studia Math. 143 (3) : 267 ~ 293
E. Acerbi / 2002 / Regularity results for stationary electro-rheological fluids / Arch. Ration. Mech. Anal. 164 (3) : 213 ~ 259
G. A. Afrouzi / 2007 / The Nehari manifold for p-Laplacian equation with Dirichlet boundary condition / Nonlinear Anal. Model. Control 12 (2) : 143 ~ 155
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