Existence of multiple solutions for quasilinear diagonal elliptic systems.

Squassina, Marco

Displaying similar documents to “Existence of multiple solutions for quasilinear diagonal elliptic systems.”

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.

Li, Juan (2005)

International Journal of Mathematics and Mathematical Sciences

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On the existence of weak solutions for degenerate systems of variational inequalities with critical growth

Martin Fuchs (1994)

Commentationes Mathematicae Universitatis Carolinae

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We prove the existence of solutions to systems of degenerate variational inequalities.

On the regularity of local minimizers of decomposable variational integrals on domains in $ℝ^{2}$

Michael Bildhauer, Martin Fuchs (2007)

Commentationes Mathematicae Universitatis Carolinae

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We consider local minimizers $u : ℝ^{2} \supset Ω \to ℝ^{N}$ of variational integrals like $\int_{Ω} [(1 + | \partial_{1} {u |}^{2})^{p / 2} + (1 + | \partial_{2} {u |}^{2})^{q / 2}] d x$ or its degenerate variant $\int_{Ω} [| \partial_{1} {u |}^{p} + | \partial_{2} u |^{q}] d x$ with exponents $2 \leq p < q < \infty$ which do not fall completely in the category studied in Bildhauer M., Fuchs M., Calc. Var. (2003), 177–186. We prove interior $C^{1, α}$ - respectively $C^{1}$ -regularity of $u$ under the condition that $q < 2 p$ . For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work Bildhauer M., Fuchs M., Ann. Acad. Sci. Fenn. Math. (2006), 349–362. ...

Higher order variational problems on two-dimensional domains.

Bildhauer, Michael, Fuchs, Martin (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media.

Dinu, Teodora-Liliana (2006)

International Journal of Mathematics and Mathematical Sciences

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Solutions for singular critical growth Schrödinger equations with magnetic field.

Han, Pigong (2006)

Portugaliae Mathematica. Nova Série

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On a class of elliptic systems in $ℝ^{n}$ .

Costa, David G. (1994)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Displaying similar documents to “Existence of multiple solutions for quasilinear diagonal elliptic systems.”

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.

On the existence of weak solutions for degenerate systems of variational inequalities with critical growth

On the regularity of local minimizers of decomposable variational integrals on domains in ℝ 2

Higher order variational problems on two-dimensional domains.

Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media.

Solutions for singular critical growth Schrödinger equations with magnetic field.

On a class of elliptic systems in ℝ n .

On the regularity of local minimizers of decomposable variational integrals on domains in $ℝ^{2}$

On a class of elliptic systems in $ℝ^{n}$ .